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1407.7237 | The grid integration of intermittent Renewable Energy Sources (RES) causes
costs for grid operators due to forecast uncertainty and the resulting
production schedule mismatches. These so-called profile service costs are
marginal cost components and can be understood as an insurance fee against RES
production schedule uncertainty that the system operator incurs due to the
obligation to always provide sufficient control reserve capacity for power
imbalance mitigation. This paper studies the situation for the German power
system and the existing German RES support schemes. The profile service costs
incurred by German Transmission System Operators (TSOs) are quantified and
means for cost reduction are discussed. In general, profile service costs are
dependent on the RES prediction error and the specific workings of the power
markets via which the prediction error is balanced. This paper shows both how
the prediction error can be reduced in daily operation as well as how profile
service costs can be reduced via optimization against power markets and/or
active curtailment of RES generation.
| [
"q-fin.GN"
] | q-fin.GN | General Finance | 2,618General Finance
|
|
1112.2233 | We derive the Josephson relation for a dilute Bose gas in the framework of an
auxiliary-field resummation of the theory in terms of the normal- and
anomalous-density condensates. The mean-field phase diagram of this theory
features two critical temperatures, T_c and $T^*, associated with the presence
in the system of the Bose-Einstein condensate (BEC) and superfluid state,
respectively. In this context, the Josephson relation shows that the superfluid
density is related to a second order parameter, the square of the
anomalous-density condensate. This is in contrast with the corresponding result
in the Bose gas theory without an anomalous condensate, which predicts that the
superfluid density is proportional to the BEC condensate density. Our findings
are consistent with the prediction that in the temperature range between T_c
and T^* a fraction of the system is in the superfluid state in the absence of
the BEC condensate. This situation is similar to the case of dilute Fermi
gases, where the superfluid density is proportional to the square of the gap
parameter. The Josephson relation relies on the existence of zero energy and
momentum excitations showing the intimate relationship between superfluidity
and the Goldstone theorem.
| [
"cond-mat.quant-gas"
] | cond-mat.quant-gas | Quantum Gases | 5,914Quantum Gases
|
|
1806.01317 | Signature of heavier charged Higgs boson, much above the top quark mass, is
investigated at the LHC Run 2 experiments, following its decay mode via top and
bottom quark focusing on both hadronic and leptonic signal final states. The
generic two Higgs doublet model framework is considered with a special emphasis
on supersymmetry motivated Type II model. The signal is found to heavily
affected by the huge irreducible backgrounds due to the top pair production and
QCD events. The jet substructure technique is used to tag moderately boosted
top jets in order to reconstruct charged Higgs mass. The simple cut based
analysis is performed optimizing various kinematic selections, and the signal
sensitivity is found to be reasonable for only lower range of charged Higgs
masses for very high luminosity 3000 fb$^{-1}$ option. However, employing the
multi-variate analysis(MVA) technique, a remarkable improvement in signal
sensitivity is achieved. We find, the charged Higgs signal for the mass range
about $300-600$ is observable with 1000 fb$^{-1}$ luminosity option. However,
for more high luminosity option 3000 fb$^{-1}$, the discovery potential can be
extended to $700-800$ GeV.
| [
"hep-ph",
"hep-ex"
] | hep-ph | hep-ex | High Energy Physics - Phenomenology;High Energy Physics - Experiment | 3,198High Energy Physics - Phenomenology;High Energy Physics - Experiment
|
1011.5211 | The range of stimulated Raman scattering (SRS) frequencies covers a domain
which at the low end abuts half the laser frequency, omega_0 / 2, according to
the simplest SRS theories, corresponding to scatter from electron densities
near 1/4 critical. Experiments, on the other hand, clearly point to a frequency
gap: SRS is not observed at frequencies close to and above omega_0 / 2,
indicating a drastic disruption of scatter from Langmuir waves as electron
densities approaches 1/4 critical from below. Several one-dimensional
mechanisms, linear and nonlinear, have been proposed to explain this "Raman
gap". In this paper we release the one-dimensional constraint by allowing
diffraction of the scattered light. In the linear convective regime we find
that diffractive effects on SRS from a wide speckled laser beam tend to
increase the SRS threshold with increase of density, so long as the interaction
length is comparable to or larger than a speckle length. This may lead to a
new, diffraction controlled, contribution to the Raman gap.
| [
"physics.plasm-ph"
] | physics.plasm-ph | Plasma Physics | 5,556Plasma Physics
|
|
1201.5675 | Given a locally compact Polish space X, a necessary and sufficient condition
for a group G of homeomorphisms of X to be the full isometry group of (X,d) for
some proper metric d on X is given. It is shown that every locally compact
Polish group G acts freely on GxY as the full isometry group of GxY with
respect to a certain proper metric on GxY, where Y is an arbitrary locally
compact Polish space with (card(G),card(Y)) different from (1,2). Locally
compact Polish groups which act effectively and almost transitively on complete
metric spaces as full isometry groups are characterized. Locally compact Polish
non-Abelian groups on which every left invariant metric is automatically right
invariant are characterized and fully classified. It is demonstrated that for
every locally compact Polish space X having more than two points the set of
proper metrics d such that Iso(X,d) = {id} is dense in the space of all proper
metrics on X.
| [
"math.GR",
"math.GN"
] | math.GR | math.GN | Group Theory;General Topology | 2,949Group Theory;General Topology
|
1103.4614 | We present two sets of theoretical results on the grouped lasso with overlap
of Jacob, Obozinski and Vert (2009) in the linear regression setting. This
method allows for joint selection of predictors in sparse regression, allowing
for complex structured sparsity over the predictors encoded as a set of groups.
This flexible framework suggests that arbitrarily complex structures can be
encoded with an intricate set of groups. Our results show that this strategy
results in unexpected theoretical consequences for the procedure. In
particular, we give two sets of results: (1) finite sample bounds on prediction
and estimation, and (2) asymptotic distribution and selection. Both sets of
results give insight into the consequences of choosing an increasingly complex
set of groups for the procedure, as well as what happens when the set of groups
cannot recover the true sparsity pattern. Additionally, these results
demonstrate the differences and similarities between the the grouped lasso
procedure with and without overlapping groups. Our analysis shows the set of
groups must be chosen with caution - an overly complex set of groups will
damage the analysis.
| [
"stat.ML"
] | stat.ML | Machine Learning | 3,882Machine Learning
|
|
2306.11136 | The interaction between localized emitters and quantum fields, both in
relativistic settings and in the case of ultra-strong couplings, requires
non-perturbative methods beyond the rotating-wave approximation. In this work
we employ chain-mapping methods to achieve a numerically exact treatment of the
interaction between a localized emitter and a scalar quantum field. We extend
the application range of these methods beyond emitter observables and apply
them to study field observables. We first provide an overview of chain-mapping
methods and their physical interpretation, and discuss the thermal double
construction for systems coupled to thermal field states. Modelling the emitter
as an Unruh-DeWitt particle detector, we then calculate the energy density
emitted by a detector coupling strongly to the field. As a stimulating
demonstration of the approach's potential, we calculate the radiation emitted
from an accelerated detector in the Unruh effect, which is closely related to
the thermal double construction as we discuss. We comment on prospects and
challenges of the method.
| [
"quant-ph",
"gr-qc",
"hep-th"
] | quant-ph | gr-qc | Quantum Physics;General Relativity and Quantum Cosmology;High Energy Physics - Theory | 6,074Quantum Physics;General Relativity and Quantum Cosmology;High Energy Physics - Theory
|
cond-mat/0404008 | Shot noise at filling factor $\nu=2/5$ is investigated theoretically. It is
argued that the "charge" $e^*$ measured by the noise at zero temperature is not
the quasiparticle charge but simply the filling factor times the electron
charge $e$, namely $e^*=2e/5$. At higher temperature quasiparticles with charge
$e^*=\pm e/5$ begin to contribute to the backscattering, and the shot noise
gives charge $e^*=e/5$. This theory explains recent experiment by Chung et al.
[Phys. Rev. Lett. \textbf{91} (2003) 216804.
| [
"cond-mat.mes-hall"
] | cond-mat.mes-hall | Mesoscale and Nanoscale Physics | 4,450Mesoscale and Nanoscale Physics
|
|
1601.00607 | Let $\mathcal C :f=0$ be a curve arrangement in the complex projective plane.
If $\mathcal C$ contains a curve subarrangement consisting of at least three
members in a pencil, then one obtains an explicit syzygy among the partial
derivatives of the homogeneous polynomial $f$. In many cases this observation
reduces the question about the freeness or the nearly freeness of $\mathcal C$
to an easy computation of Tjurina numbers. Some consequences for Terao's
conjecture in the case of line arrangements are also discussed as well as the
asphericity of some complements of geometrically constructed free curves. We
also show that any line arrangement is a subarrangement of a free, $K(\pi,1)$
line arrangement.
| [
"math.AG",
"math.AC",
"math.CO"
] | math.AG | math.AC | Algebraic Geometry;Commutative Algebra;Combinatorics | 82Algebraic Geometry;Commutative Algebra;Combinatorics
|
astro-ph/9801157 | We present spectroscopic imaging observations of the molecular and HI 21cm
absorbing cloud at z = 0.885 toward the `Einstein ring' radio source PKS
1830-211. We derive a cloud size between 10 h^{-1} pc and 600 h^{-1} pc, and
M(H_2) > 2.6x10^{4} h^{-2} Msolar. The temperature of the ambient radiation
field is 4.5+/-0.9 K, consistent with the microwave background temperature at z
= 0.885. The velocity difference for absorption on opposite sides of the ring
is -146 km s^{-1}, which is consistent with the galaxian rotation velocity
derived from gravitational lens models.
| [
"astro-ph"
] | astro-ph | Astrophysics | 463Astrophysics
|
|
2104.08278 | Learning methods for relative camera pose estimation have been developed
largely in isolation from classical geometric approaches. The question of how
to integrate predictions from deep neural networks (DNNs) and solutions from
geometric solvers, such as the 5-point algorithm, has as yet remained
under-explored. In this paper, we present a novel framework that involves
probabilistic fusion between the two families of predictions during network
training, with a view to leveraging their complementary benefits in a learnable
way. The fusion is achieved by learning the DNN uncertainty under explicit
guidance by the geometric uncertainty, thereby learning to take into account
the geometric solution in relation to the DNN prediction. Our network features
a self-attention graph neural network, which drives the learning by enforcing
strong interactions between different correspondences and potentially modeling
complex relationships between points. We propose motion parmeterizations
suitable for learning and show that our method achieves state-of-the-art
performance on the challenging DeMoN and ScanNet datasets. While we focus on
relative pose, we envision that our pipeline is broadly applicable for fusing
classical geometry and deep learning.
| [
"cs.CV"
] | cs.CV | Computer Vision and Pattern Recognition | 1,498Computer Vision and Pattern Recognition
|
|
1609.00819 | The two main issues for managing wrong way risk (WWR) for the credit
valuation adjustment (CVA, i.e. WW-CVA) are calibration and hedging. Hence we
start from a novel model-free worst-case approach based on static hedging of
counterparty exposure with liquid options. We say "start from" because we
demonstrate that a naive worst-case approach contains hidden unrealistic
assumptions on the variance of the hazard rate (i.e. that it is infinite). We
correct this by making it an explicit (finite) parameter and present an
efficient method for solving the parametrized model optimizing the hedges. We
also prove that WW-CVA is theoretically, but not practically, unbounded. The
option-based hedges serve to significantly reduce (typically halve) practical
WW-CVA. Thus we propose a realistic and practical option-based worst case CVA.
| [
"q-fin.PR",
"q-fin.CP",
"q-fin.MF",
"q-fin.RM"
] | q-fin.PR | q-fin.CP | Pricing of Securities;Computational Finance;Mathematical Finance;Risk Management | 7,267longtail
|
2006.13146 | It has been conjectured by W. Chen that the distribution of the length of the
longest increasing subsequence in a uniformly random permutation is
log-concave. We propose a stronger version of this conjecture which involves
the Kronecker coefficients of the symmetric group.
| [
"math.CO"
] | math.CO | Combinatorics | 1,014Combinatorics
|
|
1904.11009 | We present detailed observations of ZTF18abukavn (SN2018gep), discovered in
high-cadence data from the Zwicky Transient Facility as a rapidly rising
($1.4\pm0.1$ mag/hr) and luminous ($M_{g,\mathrm{peak}}=-20$ mag) transient. It
is spectroscopically classified as a broad-lined stripped-envelope supernova
(Ic-BL SN). The high peak luminosity ($L_{\mathrm{bol}} \gtrsim 3 \times
10^{44}$ erg $\mathrm{sec}^{-1}$), the short rise time ($t_{\mathrm{rise}}= 3$
days in $g$-band), and the blue colors at peak ($g-r\sim-0.4$) all resemble the
high-redshift Ic-BL iPTF16asu, as well as several other unclassified fast
transients. The early discovery of SN2018gep (within an hour of shock breakout)
enabled an intensive spectroscopic campaign, including the highest-temperature
($T_{\mathrm{eff}}\gtrsim40,000$ K) spectra of a stripped-envelope SN. A
retrospective search revealed luminous ($M_g \sim M_r \approx -14\,$mag)
emission in the days to weeks before explosion, the first definitive detection
of precursor emission for a Ic-BL. We find a limit on the isotropic gamma-ray
energy release $E_\mathrm{\gamma,iso}<4.9 \times 10^{48}$ erg, a limit on X-ray
emission $L_{\mathrm{X}} < 10^{40}\,$erg sec$^{-1}$, and a limit on radio
emission $\nu L_\nu \lesssim 10^{37}\,$erg sec$^{-1}$. Taken together, we find
that the early ($<10\,$days) data are best explained by shock breakout in a
massive shell of dense circumstellar material ($0.02\,M_\odot$) at large radii
($3 \times 10^{14}\,$cm) that was ejected in eruptive pre-explosion mass-loss
episodes. The late-time ($>10$ days) light curve requires an additional energy
source, which could be the radioactive decay of Ni-56.
| [
"astro-ph.HE"
] | astro-ph.HE | High Energy Astrophysical Phenomena | 2,990High Energy Astrophysical Phenomena
|
|
1809.05331 | By extending methods of arXiv:1503.01409, we investigate the bound on the
growth of higher point OTOCs by studying their complex analytical properties.
We explore some subtleties in our mathematical investigation, and carefully
examine the physical interpretation of our result. We also touch upon the
possibility of the saturation of the bound in a physical system. Finally, we
consider few known examples of higher point OTOCs. For the simplest case of
$2n$-point Tremolo correlators the bound on the exponent is proportional to
$n$.
| [
"hep-th"
] | hep-th | High Energy Physics - Theory | 3,266High Energy Physics - Theory
|
|
hep-ph/9808455 | We propose to test perturbative QCD in the Regge limit by means of
diffractive photon scattering $\gamma p \to \gamma X$ at large $t$ and very
high energies $W^2\gg |t|\gg \Lambda^2_{QCD}$. The helicity amplitudes of this
process were calculated using the Lipatov solution of the BFKL equation for
$t\neq 0$. We found that the perturbatively calculated cross section for this
process exceeds the cross section for $J/\Psi$ photoproduction assuming similar
kinematics.
| [
"hep-ph"
] | hep-ph | High Energy Physics - Phenomenology | 3,129High Energy Physics - Phenomenology
|
|
hep-ex/9711017 | Inclusive pizero and direct-photon cross sections in the kinematic range 3.5
< pT < 12 GeV/c with central rapidities are presented for 530 and 800 GeV/c
proton beams and a 515 GeV/c pi- beam incident on beryllium targets. Current
Next-to-Leading-Order perturbative QCD calculations fail to adequately describe
the data for conventional choices of scales. Kinematic distributions from these
hard scattering events provide evidence that the interacting partons carry
significant initial-state parton transverse momentum (kT). Incorporating these
kT effects phenomenologically greatly improves the agreement between
calculations and the measured cross sections.
| [
"hep-ex",
"hep-ph"
] | hep-ex | hep-ph | High Energy Physics - Experiment;High Energy Physics - Phenomenology | 3,075High Energy Physics - Experiment;High Energy Physics - Phenomenology
|
2107.07219 | Single crystals of the three-dimensional frustrated magnet and spin liquid
candidate compound PbCuTe$_2$O$_6$ were grown using both the Travelling Solvent
Floating Zone (TSFZ) and the Top-Seeded Solution Growth (TSSG) techniques. The
growth conditions were optimized by investigating the thermal properties. The
quality of the crystals was checked by polarized optical microscopy, X-ray Laue
and X-ray powder diffraction, and compared to the polycrystalline samples.
Excellent quality crystals were obtained by the TSSG method. Magnetic
measurements of these crystals revealed a small anisotropy for different
crystallographic directions in comparison with the previously reported data.
The heat capacity of both single crystal and powder samples reveal a transition
anomaly around 1 K. Curiously the position and magnitude of the transition are
strongly dependent on the crystallite size and it is almost entirely absent for
the smallest crystallites. A structural transition is suggested which
accompanies the reported ferroelectric transition, and a scenario whereby it
becomes energetically unfavourable in small crystallites is proposed.
| [
"cond-mat.mtrl-sci",
"cond-mat.str-el"
] | cond-mat.mtrl-sci | cond-mat.str-el | Materials Science;Strongly Correlated Electrons | 4,377Materials Science;Strongly Correlated Electrons
|
2005.05077 | We study the growth of product sets in some finite three-dimensional matrix
groups. In particular, we prove two results about the group of $2\times 2$
upper triangular matrices over arbitrary finite fields: a product set estimate
using techniques from multiplicative combinatorics, and an energy estimate
using incidence geometry. The energy method gives better quantitative results,
but only applies to small sets. We also prove an energy result for the
Heisenberg group.
| [
"math.CO"
] | math.CO | Combinatorics | 1,014Combinatorics
|
|
hep-ph/9808490 | The current phenomenological determinations of $\alpha_s(M_\tau)$ and
$\alpha_s(M_Z)$ are shown to be only marginally consistent with the QCD
evolution of the strong coupling constant between $M_Z$ and $M_\tau$. This
motivates a revised estimate of $\alpha_s(M_\tau)$ since the perturbative
series used to extract $\alpha_s(M_\tau)$ from the $\tau$ hadronic width
exhibits slow convergence. Pad\'e summation techniques provide an estimate of
these unknown higher-order effects, leading to the revised determination
$\alpha_s(M_\tau)=0.333\pm 0.030 $. This value is 10% smaller than current
estimates, improving the compatibility of phenomenological estimates for
$\alpha_s(M_\tau)$ and $\alpha_s(M_Z)$ with the QCD evolution of the strong
coupling constant.
| [
"hep-ph"
] | hep-ph | High Energy Physics - Phenomenology | 3,129High Energy Physics - Phenomenology
|
|
hep-ph/9704343 | The excess of high Q^2 events at HERA has been the subject of recent
extensive studies in the framework of several models related to new physics.
Here, we would like to concentrate on the most promising, from our point of
view, model describing HERA anomaly. We investigate HERA events within the
R-parity broken SUSY model and check its relation to LEP and TEVATRON
colliders. This study shows that if a squark resonance really takes place at
HERA, supersymmetry with broken R-parity can be revealed at either LEP200 or
TEVATRON.
| [
"hep-ph"
] | hep-ph | High Energy Physics - Phenomenology | 3,129High Energy Physics - Phenomenology
|
|
1311.6599 | We find that using open boundary condition in the temporal direction can
yield the expected value of the topological susceptibility in lattice SU(3)
Yang-Mills theory. As a further check, we show that the result agrees with
numerical simulations employing the periodic boundary condition. Our results
support the preferability of the open boundary condition over the periodic
boundary condition as the former allows for computation at smaller lattice
spacings needed for continuum extrapolation at a lower computational cost.
| [
"hep-lat"
] | hep-lat | High Energy Physics - Lattice | 3,092High Energy Physics - Lattice
|
|
2206.07688 | In this paper we study spectra of Laplacians of infinite weighted graphs.
Instead of the assumption of local finiteness we impose the condition of
summability of the weight function. Such graphs correspond to reversible Markov
chains with countable state spaces. We adopt the concept of the Cheeger
constant to this setting and prove an analogue of the Cheeger inequality
characterising the spectral gap. We also analyse the concept of the dual
Cheeger constant originally introduced in \cite{B14}, which allows estimating
the top of the spectrum. In this paper we also introduce a new combinatorial
invariant, k$(G,m)$, which allows a complete characterisation of bipartite
graphs and measures the asymmetry of the spectrum (the Hausdorff distance
between the spectrum and its reflection at point $1\in \Bbb R$). We compare
k$(G, m)$ to the Cheeger and the dual Cheeger constants. Finally, we analyse in
full detail a class of infinite complete graphs and their spectra.
| [
"math.CO"
] | math.CO | Combinatorics | 1,014Combinatorics
|
|
2001.05934 | Simplicial complexes constitute the underlying topology of interacting
complex systems including among the others brain and social interaction
networks. They are generalized network structures that allow to go beyond the
framework of pairwise interactions and to capture the many-body interactions
between two or more nodes strongly affecting dynamical processes. In fact, the
simplicial complexes topology allows to assign a dynamical variable not only to
the nodes of the interacting complex systems but also to links, triangles, and
so on. Here we show evidence that the dynamics defined on simplices of
different dimensions can be significantly different even if we compare dynamics
of simplices belonging to the same simplicial complex. By investigating the
spectral properties of the simplicial complex model called "Network Geometry
with Flavor" we provide evidence that the up and down higher-order Laplacians
can have a finite spectral dimension whose value increases as the order of the
Laplacian increases. Finally we discuss the implications of this result for
higher-order diffusion defined on simplicial complexes.
| [
"cond-mat.dis-nn",
"cond-mat.stat-mech",
"cs.SI",
"physics.soc-ph"
] | cond-mat.dis-nn | cond-mat.stat-mech | Disordered Systems and Neural Networks;Statistical Mechanics;Social and Information Networks;Physics and Society | 7,267longtail
|
1703.07511 | This paper introduces a deep-learning approach to photographic style transfer
that handles a large variety of image content while faithfully transferring the
reference style. Our approach builds upon the recent work on painterly transfer
that separates style from the content of an image by considering different
layers of a neural network. However, as is, this approach is not suitable for
photorealistic style transfer. Even when both the input and reference images
are photographs, the output still exhibits distortions reminiscent of a
painting. Our contribution is to constrain the transformation from the input to
the output to be locally affine in colorspace, and to express this constraint
as a custom fully differentiable energy term. We show that this approach
successfully suppresses distortion and yields satisfying photorealistic style
transfers in a broad variety of scenarios, including transfer of the time of
day, weather, season, and artistic edits.
| [
"cs.CV"
] | cs.CV | Computer Vision and Pattern Recognition | 1,498Computer Vision and Pattern Recognition
|
|
1804.08201 | In this note, we study submanifold geometry of the Atiyah-Hitchin manifold,
the double cover of the $2$-monopole moduli space. When the manifold is
naturally identified as the total space of a line bundle over $S^2$, the zero
section is a distinguished minimal $2$-sphere of considerable interest. In
particular, there has been a conjecture by Micallef and Wolfson [Math. Ann. 295
(1993), Remark on p.262] about the uniqueness of this minimal $2$-sphere among
all closed minimal $2$-surfaces. We show that this minimal $2$-sphere satisfies
the "strong stability condition" proposed in our earlier work
[arXiv:1710.00433], and confirm the global uniqueness as a corollary.
| [
"math.DG"
] | math.DG | Differential Geometry | 2,010Differential Geometry
|
|
1507.08865 | We prove a projection formula, expressing a relative Buchsbaum--Rim
multiplicity in terms of corresponding ones over a module-finite algebra of
pure degree, generalizing an old formula for the ordinary (Samuel)
multiplicity. Our proof is simple in spirit: after the multiplicities are
expressed as sums of intersection numbers, the desired formula results from two
projection formulas, one for cycles and another for Chern classes. Similarly,
but without using any projection formula, we prove an expansion formula,
generalizing the additivity formula for the ordinary multiplicity, a case of
the associativity formula.
| [
"math.AG",
"math.AC"
] | math.AG | math.AC | Algebraic Geometry;Commutative Algebra | 79Algebraic Geometry;Commutative Algebra
|
1410.6520 | Given a sheet of paper and a prescribed folding of its boundary, is there a
way to fold the paper's interior without stretching so that the boundary lines
up with the prescribed boundary folding? For polygonal boundaries
nonexpansively folded at finitely many points, we prove that a consistent
isometric mapping of the polygon interior always exists and is computable in
polynomial time.
| [
"cs.CG"
] | cs.CG | Computational Geometry | 1,356Computational Geometry
|
|
2203.04631 | La-based perovskites are a versatile class of materials that are of interest
for solid oxide fuel cells and electrocatalytic water splitting. During
fabrication of composition spread materials libraries of La-Co-based oxide
systems for the discovery of new catalytic materials, an unusual phase
formation phenomenon was observed: instead of the expected continuous
composition gradient, regions with homogeneous composition and single-phase
structure (La2O3 or stoichiometric La-perovskite) form. This phenomenon occurs
during reactive co-sputtering and is dependent on O2-flux and substrate
temperature, investigated from room temperature up to 700 C and is independent
of the used substrate. It can be described as a self-organized growth, where
excess transition metal cannot be incorporated into the growing film and the
forming single-phase regions. It is hypothesized that due to the high
reactivity of La and the significantly low formation energies of La2O3 and
La-perovskites, the reactive sputter deposition of La-based oxide films can
turn, regarding film growth, into a partial CVD-like process which results in
the unusual self-organized growth of single-phase regions. This phenomenon can
be leveraged for the exploration of multinary perovskite thin film libraries,
where the B-site atoms of La-perovskites are systematically substituted.
| [
"cond-mat.mtrl-sci"
] | cond-mat.mtrl-sci | Materials Science | 4,287Materials Science
|
|
1209.2722 | We study one and two-loop triangle integrals with massless propagators and
all external legs off shell. We show that there is a kinematic region where the
results can be expressed in terms of a basis of single-valued polylogarithms in
one complex variable. The relevant space of single-valued functions can be
determined a priori and the results take strikingly a simple and compact form
when written in terms of this basis. We study the properties of the basis
functions and illustrate how one can easily analytically continue our results
to all kinematic regions where the external masses have the same sign.
| [
"hep-ph",
"hep-th"
] | hep-ph | hep-th | High Energy Physics - Phenomenology;High Energy Physics - Theory | 3,223High Energy Physics - Phenomenology;High Energy Physics - Theory
|
0810.1468 | A prospective analysis for the search of the Standard Model (SM) Higgs boson
with the CMS detector is presented in the context of the early LHC data. The
aim is to establish an analysis strategy for inclusive production of the Higgs
boson decaying in WW* pairs in the context of the early LHC data. Higgs mass
region between 120-200 GeV, in which this signature was proposed as highly
sensitive, has been studied. The W decays into lnu are considered, where l
stands for e or mu. The final states are characterized by two, opposite-sign,
high transverse momentum leptons, missing energy, carried out by the undetected
neutrinos, and little jet activity. This study uses Monte Carlo (MC) events
with full detector simulation, including limited calibration and alignment
precision as expected at the LHC startup. Sets of sequential cuts are applied
to each of the three topologies, in order to isolate a signal which exceeds the
tt and continuum WW backgrounds. Alternatively, an artificial neural network
multi-variate analysis technique is used.
| [
"hep-ph"
] | hep-ph | High Energy Physics - Phenomenology | 3,129High Energy Physics - Phenomenology
|
|
2111.13809 | Document layout analysis (DLA) plays an important role in information
extraction and document understanding. At present, document layout analysis has
reached a milestone achievement, however, document layout analysis of
non-Manhattan is still a challenge. In this paper, we propose an image layer
modeling method to tackle this challenge. To measure the proposed image layer
modeling method, we propose a manually-labeled non-Manhattan layout
fine-grained segmentation dataset named FPD. As far as we know, FPD is the
first manually-labeled non-Manhattan layout fine-grained segmentation dataset.
To effectively extract fine-grained features of documents, we propose an edge
embedding network named L-E^3Net. Experimental results prove that our proposed
image layer modeling method can better deal with the fine-grained segmented
document of the non-Manhattan layout.
| [
"cs.CV"
] | cs.CV | Computer Vision and Pattern Recognition | 1,498Computer Vision and Pattern Recognition
|
|
0901.4577 | We study the exchange coupling mediated by itinerant carriers with spin-orbit
interaction by both analytic and numeric approaches. The mediated exchange
coupling is non-collinear and its spatial trends depend on the Fermi surface
topology of the itinerant carriers. Taking Rashba interaction as an example,
the exchange coupling is similar to the conventional
Ruderman-Kittel-Kasuya-Yosida type in weak coupling. On the other hand, in the
strong coupling, the spiral interaction dominates. In addition, inclusion of
finite spin relaxation always makes the non-collinear spiral exchange
interaction dominant. Potential applications of our findings are explained and
discussed.
| [
"cond-mat.mes-hall"
] | cond-mat.mes-hall | Mesoscale and Nanoscale Physics | 4,450Mesoscale and Nanoscale Physics
|
|
quant-ph/0008046 | We prove the security of a quantum key distribution scheme based on
transmission of squeezed quantum states of a harmonic oscillator. Our proof
employs quantum error-correcting codes that encode a finite-dimensional quantum
system in the infinite-dimensional Hilbert space of an oscillator, and protect
against errors that shift the canonical variables p and q. If the noise in the
quantum channel is weak, squeezing signal states by 2.51 dB (a squeeze factor
e^r=1.34) is sufficient in principle to ensure the security of a protocol that
is suitably enhanced by classical error correction and privacy amplification.
Secure key distribution can be achieved over distances comparable to the
attenuation length of the quantum channel.
| [
"quant-ph"
] | quant-ph | Quantum Physics | 5,985Quantum Physics
|
|
2209.05938 | Taking the quantum electrodynamics (QED) effect into account, we investigate
the geometrical-optics appearance of the Euler-Heisenberg (EH) black hole (BH)
under the different accretion flows context, which depends on the BH space-time
structure and different sources of light. The more significant magnetic charge
leads to the smaller shadow radius for the EH BH, while the different values of
the EH parameter do not ruin it. Different features of the corresponding
two-dimensional shadow images are derived for the three optically thin
accretion flow models. It is shown that the total observed intensity in the
static spherical accretion flow scenario leads than that of the infalling
spherical accretion flow under same parameters, but the size and position of
the EH BH shadows do not change in both of these accretions flows, implying
that the BH shadow size depends on the geometric space-time and the shadows
luminosities rely on the accretion flow morphology. Of particular interest is
that a thin disk accretion model illuminated the BH, we found that the
contribution of the lensing ring to the total observed flux is less than 5\%,
and the photon ring is less than 2\%, indicating that the direct emission
dominates the optical appearance of the EH BH. It is also believed that the
optical appearance of the BH image depends on the accretion disk radiation
position in this scenario, which can serve as a probe for the disk structure
around the active galactic nucleus (AGN) of M87^{*} like.
| [
"gr-qc",
"hep-th"
] | gr-qc | hep-th | General Relativity and Quantum Cosmology;High Energy Physics - Theory | 2,746General Relativity and Quantum Cosmology;High Energy Physics - Theory
|
1307.6450 | The ubiquity of planets and diversity of planetary systems reveal planet
formation encompass many complex and competing processes. In this series of
papers, we develop and upgrade a population synthesis model as a tool to
identify the dominant physical effects and to calibrate the range of physical
conditions. Recent planet searches leads to the discovery of many
multiple-planet systems. Any theoretical models of their origins must take into
account dynamical interaction between emerging protoplanets. Here, we introduce
a prescription to approximate the close encounters between multiple planets. We
apply this method to simulate the growth, migration, and dynamical interaction
of planetary systems. Our models show that in relatively massive disks, several
gas giants and rocky/icy planets emerge, migrate, and undergo dynamical
instability. Secular perturbation between planets leads to orbital crossings,
eccentricity excitation, and planetary ejection. In disks with modest masses,
two or less gas giants form with multiple super-Earths. Orbital stability in
these systems is generally maintained and they retain the kinematic structure
after gas in their natal disks is depleted. These results reproduce the
observed planetary mass-eccentricity and semimajor axis-eccentricity
correlations. They also suggest that emerging gas giants can scatter residual
cores to the outer disk regions. Subsequent in situ gas accretion onto these
cores can lead to the formation of distant (> 30AU) gas giants with nearly
circular orbits.
| [
"astro-ph.EP"
] | astro-ph.EP | Earth and Planetary Astrophysics | 2,351Earth and Planetary Astrophysics
|
|
2211.12135 | We are standing at the edge of a major transformation in manuscript studies.
Digital surrogates, Digital Humanities analyses and the rise of new scientific
analytical technologies proliferate across universities, libraries and museums.
They change the way we consult, research and disseminate historical manuscripts
to reveal hitherto unknown, and unknowable, information. This article looks at
how the field can best integrate these transformations. Concentrating on
training programmes for advanced students as a way of reimagining the field, it
provides concrete advice for the future of manuscript studies, arguing that the
existence of manuscript studies as removed from Digital Humanities and heritage
science is becoming more and more artificial and detrimental to the future of
the field.
| [
"cs.DL"
] | cs.DL | Digital Libraries | 2,081Digital Libraries
|
|
1605.00822 | The dynamics of electrons in counter-propagating, circularly polarized laser
beams are shown to exhibit attractors whose ability to trap particles depends
on the ratio of the beam intensities and a single parameter describing
radiation reaction. Analytical expressions are found for the underlying limit
cycles and the parameter range in which they are stable. In high-intensity
optical pulses, where radiation reaction strongly modifies the trajectories,
the production of collimated gamma-rays and the initiation of non-linear
cascades of electron-positron pairs can be optimized by a suitable choice of
the intensity ratio.
| [
"physics.plasm-ph",
"hep-ph"
] | physics.plasm-ph | hep-ph | Plasma Physics;High Energy Physics - Phenomenology | 5,587Plasma Physics;High Energy Physics - Phenomenology
|
1809.10837 | The dynamic of contact formation between soft materials immersed in a fluid
is accompanied by fluid drainage and elastic deformation. As a result,
controlling the coupling between lubrication pressure and elasticity provides
strategies to design materials with reversible and dynamic adhesion to wet or
flooded surfaces. We characterize the elastic deformation of a soft coating
with nanometer-scale roughness as it approaches and contacts a rigid surface in
a fluid environment. The lubrication pressure during the approach causes
elastic deformation and prevents contact formation. We observe deformation
profiles that are drastically different from those observed for elastic
half-space when the thickness of the soft coating is comparable to the
hydrodynamic radius. In contrast, we show that surface roughness favors fluid
drainage without altering the elastic deformation. As a result, the coupling
between elasticity and slip (caused by surface roughness) can lead to trapped
fluid pockets in the contact region.
| [
"cond-mat.soft"
] | cond-mat.soft | Soft Condensed Matter | 6,537Soft Condensed Matter
|
|
1803.07364 | This work establishes the algebraic structure of the Kohn-Sham equations to
be solved in a density formulation of electron and phonon dynamics, including
the superconducting order parameter. A Bogoliubov transform is required to
diagonalize both the fermionic and bosonic Kohn-Sham Hamiltonians since they
both represent a non-interacting quantum field theory. The Bogoliubov transform
for phonons is non-Hermitian in the general case, and the corresponding
time-evolution is non-unitary. Several sufficient conditions for ensuring that
the bosonic eigenvalues are real are provided and a practical method for
solving the system is described. Finally, we produce a set of approximate
mean-field potentials which are functionals of the electronic and phononic
density matrices and depend on the electron-phonon vertex.
| [
"cond-mat.supr-con"
] | cond-mat.supr-con | Superconductivity | 7,066Superconductivity
|
|
2101.03686 | Dual phase xenon detectors are widely used in experimental searches for
galactic darkmatter particles. The origin of single electron backgrounds
following prompt scintillation and proportional scintillation signals in these
detectors is not fully understood, although there has been progress in recent
years. In this paper, we describe single electron backgrounds in ${}^{83m}Kr$
calibration events and their correlation with drift and extraction fields,
using the Particle Identification in Xenon at Yale (PIXeY) dual-phase xenon
time projection chamber. The single electron background induced by the
Fowler-Nordheim (FN) effect is measured, and its electric field dependence is
quantified. The photoionization of grids and impurities by prompt scintillation
and proportional scintillation also contributes to the single electron
background.
| [
"physics.ins-det",
"hep-ex",
"physics.app-ph"
] | physics.ins-det | hep-ex | Instrumentation and Detectors;High Energy Physics - Experiment;Applied Physics | 7,267longtail
|
1605.05468 | We construct non-compactness examples for the fully coupled
Einstein-Lichnerowicz constraint system in the focusing case. The construction
is obtained by combining pointwise a priori asymptotic analysis techniques,
finite-dimensional reductions and a fixed-point argument.
More precisely, we perform a fixed-point procedure on the remainders of the
expected blow-up decomposition. The argument consists of an involved
finite-dimensional reduction coupled with a ping-pong method. To overcome the
non-variational structure of the system, we work with remainders which belong
to strong function spaces and not merely to energy spaces. Performing both the
ping-pong argument and the finite-dimensional reduction therefore heavily
relies on a priori pointwise asymptotic techniques.
| [
"math.AP"
] | math.AP | Analysis of PDEs | 205Analysis of PDEs
|
|
1210.2053 | There are various concepts of structure preserving mappings in geometry. It
is the aim of the present paper to give a survey on geometrical
characterizations of some of those mappings. We discuss the results for
projective spaces in some detail and report on generalizations to other spaces.
| [
"math.AG"
] | math.AG | Algebraic Geometry | 47Algebraic Geometry
|
|
0810.4878 | We prove an analogue of Sadullaev's theorem concerning the size of the set
where a maximal totally real manifold can meet a pluripolar set. The manifold
has to be of class C-1 only. This readily leads to a version of Shcherbina's
theorem for C-1 functions f that are defined in a neighborhood of certain
compact sets K in the complex plane. If the graph of f on K is pluripolar, then
f satisfies the Cauchy Riemann equations in the closure of the fine interior of
K.
| [
"math.CV"
] | math.CV | Complex Variables | 1,135Complex Variables
|
|
hep-ph/9911382 | An overview of KAON 99 with commentary is presented. Emphasis is placed on
the state of CKM mixing and CP violation. The Jarlskog invariant, J_{CP}, is
shown to provide a useful quantitative comparison of K and B phenomenology. The
potential of future rare and ``forbidden'' decay experiments to probe O(3000
TeV) ``New Physics'' is also described.
| [
"hep-ph"
] | hep-ph | High Energy Physics - Phenomenology | 3,129High Energy Physics - Phenomenology
|
|
hep-th/0112017 | The covariant light-front equations have been solved exactly for a two
fermion system with different boson exchange ladder kernels. We present a
method to study the cutoff dependence of these equations and to determine
whether they need to be regularized or not. Results are presented for scalar
and pseudo-scalar exchange. This latter furthermore exhibits some strange
particularities which will be discussed.
| [
"hep-th",
"nucl-th"
] | hep-th | nucl-th | High Energy Physics - Theory;Nuclear Theory | 3,369High Energy Physics - Theory;Nuclear Theory
|
2004.03172 | The directed network of telephone subscribers is considered in the article.
It can be described as a dynamic network with vertices that correspond to the
subscribers of the telephone network and emerging directional edges that
correspond to the connections between the respective subscribers. The position
of the edge and its direction is determined by the incoming and outgoing calls
from the corresponding vertices. The subject of the article is the statistical
properties of the connections of a certain subset of telephone network
subscribers. Such connections are dynamic in nature due to their appearance and
disappearance. The number of outgoing (or incoming) connections occurred during
a day at a selected vertex is used as the main characteristic. The distribution
density of the number of outgoing (or incoming) connections (or calls) of such
a network has been analyzed using the experimental data. It has been shown that
such a distribution density over the number of calls obeys the lognormal
distribution density, which depends on the two parameters. The values of two
parameters, namely the mean value and the variance, determining the lognormal
distribution density are established. The reasons for the appearance of a
lognormal distribution density over the number of incoming (or outgoing)
connections have been discussed. The statistical properties of other groups of
subscribers have been considered as well. In particular, the group that makes a
large number of outgoing calls to various subscribers of the telephone network
has been selected for a separate study. The members of this group, who create
and distribute spam can be called spammers. It has been shown that these
groups, spammers for example, also obeys the lognormal distribution density
over the number of calls but they are characterized by the different mean value
and variance.
| [
"physics.soc-ph",
"cs.SI"
] | physics.soc-ph | cs.SI | Physics and Society;Social and Information Networks | 5,527Physics and Society;Social and Information Networks
|
2203.03597 | Good generalization performance on high-dimensional data crucially hinges on
a simple structure of the ground truth and a corresponding strong inductive
bias of the estimator. Even though this intuition is valid for regularized
models, in this paper we caution against a strong inductive bias for
interpolation in the presence of noise: While a stronger inductive bias
encourages a simpler structure that is more aligned with the ground truth, it
also increases the detrimental effect of noise. Specifically, for both linear
regression and classification with a sparse ground truth, we prove that minimum
$\ell_p$-norm and maximum $\ell_p$-margin interpolators achieve fast polynomial
rates close to order $1/n$ for $p > 1$ compared to a logarithmic rate for $p =
1$. Finally, we provide preliminary experimental evidence that this trade-off
may also play a crucial role in understanding non-linear interpolating models
used in practice.
| [
"stat.ML",
"cs.LG"
] | stat.ML | cs.LG | Machine Learning;Machine Learning | 4,163Machine Learning;Machine Learning
|
2102.02065 | We propose an efficient algorithm for the optimal control problems (OCPs) of
nonlinear switched systems that optimizes the control input and switching
instants simultaneously for a given switching sequence. We consider the
switching instants as the optimization variables and formulate the OCP based on
the direct multiple shooting method. We derive a linear equation to be solved
in Newton's method and propose a Riccati recursion algorithm to solve the
linear equation efficiently. The computational time of the proposed method
scales linearly with respect to the number of time stages of the horizon as the
standard Riccati recursion. Numerical experiments show that the proposed method
converges with a significantly shorter computational time than the conventional
methods.
| [
"math.OC"
] | math.OC | Optimization and Control | 5,234Optimization and Control
|
|
2205.11592 | Many complex dynamical systems in the real world, including ecological,
climate, financial, and power-grid systems, often show critical transitions, or
tipping points, in which the system's dynamics suddenly transit into a
qualitatively different state. In mathematical models, tipping points happen as
a control parameter gradually changes and crosses a certain threshold. Tipping
elements in such systems may interact with each other as a network, and
understanding the behavior of interacting tipping elements is a challenge
because of the high dimensionality originating from the network. Here we
develop a degree-based mean-field theory for a prototypical double-well system
coupled on a network with the aim of understanding coupled tipping dynamics
with a low-dimensional description. The method approximates both the onset of
the tipping point and the position of equilibria with a reasonable accuracy.
Based on the developed theory and numerical simulations, we also provide
evidence for multistage tipping point transitions in networks of double-well
systems.
| [
"physics.soc-ph",
"nlin.AO"
] | physics.soc-ph | nlin.AO | Physics and Society;Adaptation and Self-Organizing Systems | 5,464Physics and Society;Adaptation and Self-Organizing Systems
|
1103.5610 | Consider a strong Markov process in continuous time, taking values in some
Polish state space. Recently, Douc, Fort and Guillin (2009) introduced
verifiable conditions in terms of a supermartingale property implying an
explicit control of modulated moments of hitting times. We show how this
control can be translated into a control of polynomial moments of abstract
regeneration times which are obtained by using the regeneration method of
Nummelin, extended to the time-continuous context.
As a consequence, if a $p-$th moment of the regeneration times exists, we
obtain non asymptotic deviation bounds of the form
$$P_{\nu}(|\frac1t\int_0^tf(X_s)ds-\mu(f)|\geq\ge)\leq K(p)\frac1{t^{p-
1}}\frac 1{\ge^{2(p-1)}}\|f\|_\infty^{2(p-1)}, p \geq 2. $$ Here, $f$ is a
bounded function and $\mu$ is the invariant measure of the process. We give
several examples, including elliptic stochastic differential equations and
stochastic differential equations driven by a jump noise.
| [
"math.PR"
] | math.PR | Probability | 5,709Probability
|
|
0802.3698 | We introduce SPHRAY, a Smoothed Particle Hydrodynamics (SPH) ray tracer
designed to solve the 3D, time dependent, radiative transfer (RT) equations for
arbitrary density fields. The SPH nature of SPHRAY makes the incorporation of
separate hydrodynamics and gravity solvers very natural. SPHRAY relies on a
Monte Carlo (MC) ray tracing scheme that does not interpolate the SPH particles
onto a grid but instead integrates directly through the SPH kernels. Given
initial conditions and a description of the sources of ionizing radiation, the
code will calculate the non-equilibrium ionization state (HI, HII, HeI, HeII,
HeIII, e) and temperature (internal energy/entropy) of each SPH particle. The
sources of radiation can include point like objects, diffuse recombination
radiation, and a background field from outside the computational volume. The MC
ray tracing implementation allows for the quick introduction of new physics and
is parallelization friendly. A quick Axis Aligned Bounding Box (AABB) test
taken from computer graphics applications allows for the acceleration of the
raytracing component. We present the algorithms used in SPHRAY and verify the
code by performing all the test problems detailed in the recent Radiative
Transfer Comparison Project of Iliev et. al. The Fortran 90 source code for
SPHRAY and example SPH density fields are made available on a companion website
(www.sphray.org).
| [
"astro-ph"
] | astro-ph | Astrophysics | 463Astrophysics
|
|
astro-ph/9704205 | We show that the expected $ \nu_{\tau} $ signals, by their secondary tau
tracks, in Km^3 detectors at highest cosmic ray energy window $ 1.7\cdot
10^{21} eV \gt E_{\tau} \gt 1.6 x 10^{17} eV$, must overcome the corresponding
$ \nu_{\mu} $ (or muonic) ones. Indeed, the Lorentz-boosted tau range length
grows (linearly) above muon range, for $ E_{\tau} \RAISE 1.6 x 10^8 GeV$ and
reaches its maxima extension, $ R_{\tau_{\max}} \simeq 191 km$, at energy
$E_{\tau} \simeq 3.8 x 10^9 GeV$. At this peak the tau range is nearly 20 times
the corresponding muon range (at the same energy) implying a similar ratio in $
\nu_{\tau} $ over $ \nu_{\mu} $ detectability. This dominance, however may lead
(at present most abundant $ \nu_{\tau} $ model fluxes) to just a rare
spectacular event a year (if flavor mixing occurs). Lower energetic $ \tau $
and $ \nu_{\tau} $ signals $ (\bar{\nu}_e e\to \bar{\nu}_{\tau} \tau,
\nu_{\tau} N\to ...) $ at energy range ($ 10^5 \div 10^7 GeV$) may be more
easily observed in km^3 detectors at a rate of a few $ (\bar{\nu}_e e\to
\bar{\nu}_{\tau} \tau) $ to tens event $ (\nu_{\tau} N\to \tau + $ anything) a
year.
| [
"astro-ph",
"hep-ph"
] | astro-ph | hep-ph | Astrophysics;High Energy Physics - Phenomenology | 528Astrophysics;High Energy Physics - Phenomenology
|
1711.04193 | Although recent advances have made it possible to manipulate electromagnetic
and acoustic wavefronts with sub-wavelength metasurface slabs, the design of
elastodynamic counterparts remains challenging. We introduce a novel but simple
design approach to control SV-waves in elastic solids. The proposed metasurface
can be fabricated by cutting an array of aligned parallel cracks in a solid
such that the materials between the cracks act as plate-like waveguides in the
background medium. The plate array is capable of modulating the phase change of
SV-wave while keeping the phase of P-wave unchanged. An analytical model for
SV-wave incidence is established to calculate the transmission coefficient and
the transmitted phase through the plate-like waveguide explicitly. A complete
$2\pi$ range of phase delay is achieved by selecting different thicknesses for
the plates. An elastic metasurface for splitting SV- and P-waves is designed
and demonstrated using full wave finite element (FEM) simulations. Two
metasurfaces for focusing plane and cylindrical SV-waves are also presented.
| [
"physics.app-ph"
] | physics.app-ph | Applied Physics | 319Applied Physics
|
|
1310.1326 | The magnetopolaronic generalization of a Majorana-resonant-level (-MRL) model
is considered for a single-level vibrating quantum dot symmetrically coupled to
two half-infinite $g=1/2$- Tomonaga-Luttinger liquid (-TLL) leads at the
Toulouse point. At the resonance by gate voltage the exact solution for the
effective transmission coefficient is obtained in the whole range of
magnetopolaronic coupling constant values. The obtained exact solution exists
due to special Majorana-like symmetry of tunnel Hamiltonian and gives rise to
nontrivial interference between different virtual vibronic channels of resonant
tunneling with different fixed Aharonov-Bohm phases. This fact leads to a novel
topologically nontrivial type of resonant Andreev-like magnetopolaronic
tunneling in the system. As the result, in the zero-temperature limit, it is
impossible to compensate the magnetopolaronic blockade in magnetopolaronic
MRL-model by means of bias voltage, if vibron energy is the smallest (but
nonzero) energy parameter in the system.
| [
"cond-mat.str-el",
"cond-mat.mes-hall"
] | cond-mat.str-el | cond-mat.mes-hall | Strongly Correlated Electrons;Mesoscale and Nanoscale Physics | 7,016Strongly Correlated Electrons;Mesoscale and Nanoscale Physics
|
astro-ph/0509863 | If an extended source, such as a galaxy, is gravitationally lensed by a
massive object in the foreground, the lensing distorts the observed image. It
is straightforward to simulate what the observed image would be for a
particular lens and source combination. In practice, one observes the lensed
image on the sky, but blurred by atmospheric and telescopic effects and also
contaminated with noise. The question that then arises is, given this
incomplete data, what combinations of lens mass distribution and source surface
brightness profile could plausibly have produced this image? This is a classic
example of an inverse problem, and the method for solving it is given by the
framework of Bayesian inference. In this paper we demonstrate the application
of Bayesian inference to the problem of gravitational lens reconstruction, and
illustrate the use of Markov Chain Monte Carlo simulations which can be used
when the analytical calculations become too difficult. Previous methods for
performing gravitational lens inversion are seen in a new light, as special
cases of the general approach presented in this paper. Thus, we are able to
answer, at least in principle, lingering questions about the uncertainties in
the reconstructed source and lens parameters, taking into account all of the
data and any prior information we may have.
| [
"astro-ph"
] | astro-ph | Astrophysics | 463Astrophysics
|
|
hep-ex/0011014 | It is shown in the paper that Pt activity limitation (modulus of the vector
sum) of all particle beyond "photon+Jet" system Pt^out leads to the noticeable
photon Pt - jet Pt disbalance decreasing. On a simultaneous restriction of the
cluster Pt and Pt^out from above it is possible to reach an acceptable balance
between photon Pt - jet Pt with a sufficient number of the photon Pt - jet Pt
events for the jet energy scale setting and hadron calorimeter calibratiom of
the CMS detector at LHC.
| [
"hep-ex"
] | hep-ex | High Energy Physics - Experiment | 3,059High Energy Physics - Experiment
|
|
1807.04673 | Since the introduction of the reference publication year spectroscopy (RPYS)
method and the corresponding program CRExplorer, many studies have been
published revealing the historical roots of topics, fields, and researchers.
The application of the method was restricted up to now by the available memory
of the computer used for running the CRExplorer. Thus, many users could not
perform RPYS for broader research fields or topics. In this study, we present
various sampling methods to solve this problem: random, systematic, and cluster
sampling. We introduce the script language of the CRExplorer which can be used
to draw many samples from the population dataset. Based on a large dataset of
publications from climate change research, we compare RPYS results using
population data with RPYS results using different sampling techniques. From our
comparison with the full RPYS (population spectrogram), we conclude that the
cluster sampling performs worst and the systematic sampling performs best. The
random sampling also performs very well but not as well as the systematic
sampling. The study therefore demonstrates the fruitfulness of the sampling
approach for applying RPYS.
| [
"cs.DL"
] | cs.DL | Digital Libraries | 2,081Digital Libraries
|
|
1604.05741 | The torsion anomalous conjecture states that for any variety V in an abelian
variety there are only finitely many maximal V-torsion anomalous varieties. We
prove this conjecture for V of codimension 2 in a product E^N of any elliptic
curve E. This was known only when E has CM. We also give an effective upper
bound for the normalized height of these maximal V-torsion anomalous varieties.
| [
"math.NT"
] | math.NT | Number Theory | 4,945Number Theory
|
|
2301.11765 | This paper presents ExplainableFold, an explainable AI framework for protein
structure prediction. Despite the success of AI-based methods such as AlphaFold
in this field, the underlying reasons for their predictions remain unclear due
to the black-box nature of deep learning models. To address this, we propose a
counterfactual learning framework inspired by biological principles to generate
counterfactual explanations for protein structure prediction, enabling a
dry-lab experimentation approach. Our experimental results demonstrate the
ability of ExplainableFold to generate high-quality explanations for
AlphaFold's predictions, providing near-experimental understanding of the
effects of amino acids on 3D protein structure. This framework has the
potential to facilitate a deeper understanding of protein structures.
| [
"cs.AI",
"cs.LG"
] | cs.AI | cs.LG | Artificial Intelligence;Machine Learning | 421Artificial Intelligence;Machine Learning
|
math/0406557 | We present a self-contained and modern survey of some existing quasi-sure
results via the connection to the Brownian sheet. Among other things, we prove
that quasi-every continuous function: (i) satisfies the local law of the
iterated logarithm; (ii) has Levy's modulus of continuity for Brownian motion;
(iii) is nowhere differentiable; and (iv) has a nontrivial quadratic variation.
We also present a hint of how to extend (iii) to obtain a quasi-sure refinement
of the M. Csorgo--P. Revesz modulus of continuity for almost every continuous
function along the lines suggested by M. Fukushima.
| [
"math.PR"
] | math.PR | Probability | 5,709Probability
|
|
astro-ph/0601454 | We re-assess the question of a systematic time delay between the formation of
the progenitor and its explosion in a type Ia supernova (SN Ia) using the
Hubble Higher-z Supernova Search sample (Strolger et al. 2004). While the
previous analysis indicated a significant time delay, with a most likely value
of 3.4 Gyr, effectively ruling out all previously proposed progenitor models,
our analysis shows that the time-delay estimate is dominated by systematic
errors, in particular due to uncertainties in the star-formation history. We
find that none of the popular progenitor models under consideration can be
ruled out with any significant degree of confidence. The inferred time delay is
mainly determined by the peak in the assumed star-formation history. We show
that, even with a much larger Supernova sample, the time delay distribution
cannot be reliably reconstructed without better constraints on the
star-formation history.
| [
"astro-ph"
] | astro-ph | Astrophysics | 463Astrophysics
|
|
1504.02005 | In this paper, we find a bound for the number of the positive solutions to
the titled equation, improving a result of Togb\'e. As a consequence, we prove
a conjecture of Togb\'e in a few cases.
| [
"math.NT"
] | math.NT | Number Theory | 4,945Number Theory
|
|
1304.7154 | We study the shear and bulk viscosities of partonic and hadronic matter - as
well as the electric conductivity - as functions of temperature $T$ within the
Parton-Hadron-String Dynamics (PHSD) off-shell transport approach. Dynamical
hadronic and partonic systems in equilibrium are studied by the PHSD
simulations in a finite box with periodic boundary conditions. The ratio of the
shear viscosity to entropy density $\eta(T)/s(T)$ from PHSD shows a minimum
(with a value of about 0.1) close to the critical temperature $T_c$. For
$T<T_c$, i.e. in the hadronic phase, the ratio $\eta/s$ rises fast with
decreasing temperature due to a lower interaction rate of the hadronic system
and a significantly smaller number of degrees-of-freedom. The bulk viscosity
$\zeta(T)$ -- evaluated in the relaxation time approach -- is found to strongly
depend on the effects of mean fields (or potentials) in the partonic phase. We
find a significant rise of the ratio $\zeta(T)/s(T)$ in the vicinity of the
critical temperature $T_c$, when consistently including the scalar mean-field
from PHSD, which is also in agreement with that from lQCD calculations.
Furthermore, we present the results for the ratio $(\eta+3\zeta/4)/s$, which is
found to depend non-trivially on temperature and to generally agree with the
lQCD calculations as well. Within the PHSD calculations, the strong maximum of
$\zeta(T)/\eta(T)$ close to $T_c$ has to be attributed to mean-fields (or
potential) effects that in PHSD are encoded in the temperature dependence of
the quasiparticle masses, which is related to the infrared enhancement of the
resummed (effective) coupling $g(T)$. We also find that the dimensionless ratio
of the electric conductivity over temperature $\sigma_0/T$ rises above $T_c$
approximately linearly with $T$ up to $T=2.5 T_c$, but approaches a constant
above $5 T_c$, as expected qualitatively from perturbative QCD (pQCD).
| [
"nucl-th"
] | nucl-th | Nuclear Theory | 4,876Nuclear Theory
|
|
cond-mat/0703557 | We study the effects of dissipation on a randomly dilute transverse-field
Ising magnet at and close to the percolation threshold. For weak transverse
fields, a novel percolation quantum phase transition separates a
super-paramagnetic cluster phase from an inhomogeneously ordered ferromagnetic
phase. The properties of this transition are dominated by large frozen and
slowly fluctuating percolation clusters. Implementing numerically a
strong-disorder real space renormalization group technique, we compute the
low-energy density of states which is found to be in good agreement with the
analytical prediction.
| [
"cond-mat.dis-nn",
"cond-mat.stat-mech"
] | cond-mat.dis-nn | cond-mat.stat-mech | Disordered Systems and Neural Networks;Statistical Mechanics | 2,174Disordered Systems and Neural Networks;Statistical Mechanics
|
2005.04972 | We introduce in this paper a strategy to prove gradient estimates for some
infinite-dimensional diffusions on $L_2$-Wasserstein spaces. For a specific
example of a diffusion on the $L_2$-Wasserstein space of the torus, we get a
Bismut-Elworthy-Li formula up to a remainder term and deduce a gradient
estimate with a rate of blow-up of order $\mathcal{O}(t^{-(2+\epsilon)})$.
| [
"math.PR"
] | math.PR | Probability | 5,709Probability
|
|
1807.00818 | In this paper, we explore the ways to improve POS-tagging using various types
of auxiliary losses and different word representations. As a baseline, we
utilized a BiLSTM tagger, which is able to achieve state-of-the-art results on
the sequence labelling tasks. We developed a new method for character-level
word representation using feedforward neural network. Such representation gave
us better results in terms of speed and performance of the model. We also
applied a novel technique of pretraining such word representations with
existing word vectors. Finally, we designed a new variant of auxiliary loss for
sequence labelling tasks: an additional prediction of the neighbour labels.
Such loss forces a model to learn the dependencies in-side a sequence of labels
and accelerates the process of training. We test these methods on English and
Russian languages.
| [
"cs.CL",
"cs.AI",
"cs.LG",
"stat.ML"
] | cs.CL | cs.AI | Computation and Language;Artificial Intelligence;Machine Learning;Machine Learning | 1,192Computation and Language;Artificial Intelligence;Machine Learning;Machine Learning
|
1301.3520 | We derive some exact bounds on the free energy $W(J)$ in QCD, where $J_\mu^b$
is a source for the gluon field $A_\mu^b$ in the minimal Landau gauge, and
$W(J)$ is the generating functional of connected gluon correlators. Among other
results, we show that for a static source $J(x) = h$ the free energy vanishes,
$W(h) = 0$, together with its first derivative, ${\partial W(h) \over \partial
h} = 0,$ for all $h$, no matter how strong. Thus the system does not respond to
a static color probe. We also present numerical evaluations of the free energy
$W(J)$ and find that the bounds are well satisfied and in fact undersaturated.
| [
"hep-lat",
"hep-ph",
"hep-th"
] | hep-lat | hep-ph | High Energy Physics - Lattice;High Energy Physics - Phenomenology;High Energy Physics - Theory | 3,106High Energy Physics - Lattice;High Energy Physics - Phenomenology;High Energy Physics - Theory
|
1908.05636 | An in-house Seebeck coefficient measurement system has been developed which
can measure the thermoemf (Seebeck coefficient) of the sample, under large
temperature difference, in the temperature range 300-600 K. Unlike majority of
reported instrumental designs, the system does not have a hot walled chamber
and hence is much closer to real time thermoelectric applications conditions.
The system consists of two brass blocks supported heaters. These heaters are
placed on either side of the sample through silver caps, thus allows individual
temperature control. A reversible temperature gradient is applied across the
sample and the measurement is carried out in quasi-static direct current mode.
Hence, a more accurate Seebeck coefficient measurement is obtained.
| [
"physics.ins-det",
"cond-mat.mtrl-sci"
] | physics.ins-det | cond-mat.mtrl-sci | Instrumentation and Detectors;Materials Science | 3,666Instrumentation and Detectors;Materials Science
|
1605.05603 | Analytical models of chemical evolution, including inflow and outflow of gas,
are important tools to study how the metal content in galaxies evolves as a
function of time. In this work, we present new analytical solutions for the
evolution of the gas mass, total mass and metallicity of a galactic system,
when a decaying exponential infall rate of gas and galactic winds are assumed.
We apply our model to characterize a sample of local star-forming and passive
galaxies from the Sloan Digital Sky Survey data, with the aim of reproducing
their observed mass-metallicity relation; in this way, we can derive how the
two populations of star-forming and passive galaxies differ in their particular
distribution of ages, formation time scales, infall masses and mass loading
factors. We find that the local passive galaxies are on average older and
assembled on shorter typical time-scales than the local star-forming ones; on
the other hand, the larger mass star-forming galaxies show generally older ages
and longer typical formation time-scales compared with the smaller mass
star-forming galaxies. Finally, we conclude that the local star-forming
galaxies experience stronger galactic winds than the passive galaxy population.
We explore the effect of assuming different initial mass functions in our
model, showing that to reproduce the observed mass-metallicity relation
stronger winds are requested if the initial mass function is top-heavy.
Finally, our analytical models predict the assumed sample of local galaxies to
lie on a tight surface in the 3D space defined by stellar metallicity, star
formation rate and stellar mass, thus mimicking the well-known "fundamental
relation".
| [
"astro-ph.GA"
] | astro-ph.GA | Astrophysics of Galaxies | 464Astrophysics of Galaxies
|
|
2307.08576 | Background: Depression is a common mental disorder with societal and economic
burden. Current diagnosis relies on self-reports and assessment scales, which
have reliability issues. Objective approaches are needed for diagnosing
depression. Objective: Evaluate the potential of GPT technology in diagnosing
depression. Assess its ability to simulate individuals with depression and
investigate the influence of depression scales. Methods: Three
depression-related assessment tools (HAMD-17, SDS, GDS-15) were used. Two
experiments simulated GPT responses to normal individuals and individuals with
depression. Compare GPT's responses with expected results, assess its
understanding of depressive symptoms, and performance differences under
different conditions. Results: GPT's performance in depression assessment was
evaluated. It aligned with scoring criteria for both individuals with
depression and normal individuals. Some performance differences were observed
based on depression severity. GPT performed better on scales with higher
sensitivity. Conclusion: GPT accurately simulates individuals with depression
and normal individuals during depression-related assessments. Deviations occur
when simulating different degrees of depression, limiting understanding of mild
and moderate cases. GPT performs better on scales with higher sensitivity,
indicating potential for developing more effective depression scales. GPT has
important potential in depression assessment, supporting clinicians and
patients.
| [
"q-bio.NC",
"cs.LG"
] | q-bio.NC | cs.LG | Neurons and Cognition;Machine Learning | 4,831Neurons and Cognition;Machine Learning
|
1512.02768 | We perform image stacking analysis of Sloan Digital Sky Survey (SDSS)
photometric galaxies over the AKARI Far-Infrared Surveyor (FIS) maps at
65{\mu}m, 90{\mu}m, and 140{\mu}m. The resulting image profiles are decomposed
into the central galaxy component (single term) and the nearby galaxy component
(clustering term), as a function of the r-band magnitude, m_r of the central
galaxy. We find that the mean far-infrared (FIR) flux of a galaxy with
magnitude m_r is well fitted with f^s_{90{\mu}m}=13*10^{0.306(18-m_r)}[mJy].
The FIR amplitude of the clustering term is consistent with that expected from
the angular-correlation function of the SDSS galaxies, but galaxy morphology
dependence needs to be taken into account for a more quantitative conclusion.
We also fit the spectral energy distribution of stacked galaxies at 65{\mu}m,
90{\mu}m, and 140{\mu}m, and derive a mean dust temperature of ~30K. This is
consistent with the typical dust temperature of galaxies that are FIR luminous
and individually detected.
| [
"astro-ph.GA"
] | astro-ph.GA | Astrophysics of Galaxies | 464Astrophysics of Galaxies
|
|
2206.07303 | We present a structure-preserving Eulerian algorithm for solving
$L^2$-gradient flows and a structure-preserving Lagrangian algorithm for
solving generalized diffusions. Both algorithms employ neural networks as tools
for spatial discretization. Unlike most existing methods that construct
numerical discretizations based on the strong or weak form of the underlying
PDE, the proposed schemes are constructed based on the energy-dissipation law
directly. This guarantees the monotonic decay of the system's energy, which
avoids unphysical states of solutions and is crucial for the long-term
stability of numerical computations. To address challenges arising from
nonlinear neural-network discretization, we first perform temporal
discretization on these variational systems. This approach is computationally
memory-efficient when implementing neural network-based algorithms. The
proposed neural-network-based schemes are mesh-free, allowing us to solve
gradient flows in high dimensions. Various numerical experiments are presented
to demonstrate the accuracy and energy stability of the proposed numerical
schemes.
| [
"math.NA",
"cs.NA"
] | math.NA | cs.NA | Numerical Analysis;Numerical Analysis | 5,059Numerical Analysis;Numerical Analysis
|
1402.3444 | We consider the problem of enumerating all instances of a given pattern graph
in a large data graph. Our focus is on determining the input/output (I/O)
complexity of this problem. Let $E$ be the number of edges in the data graph,
$k=O(1)$ be the number of vertices in the pattern graph, $B$ be the block
length, and $M$ be the main memory size. The main results of the paper are two
algorithms that enumerate all instances of the pattern graph. The first one is
a deterministic algorithm that exploits a suitable independent set of the
pattern graph of size $1\leq s \leq k/2$ and requires
$O\left(E^{k-s}/\left(BM^{k-s-1}\right)\right)$ I/Os. The second algorithm is a
randomized algorithm that enumerates all instances in
$O\left(E^{k/2}/\left(BM^{k/2-1}\right)\right)$ expected I/Os; the same bound
also applies with high probability under some assumptions. A lower bound shows
that the deterministic algorithm is optimal for some pattern graphs with
$s=k/2$ (e.g., paths and cycles of even length, meshes of even side), while the
randomized algorithm is optimal for a wide class of pattern graphs, called Alon
class (e.g., cliques, cycles and every graph with a perfect matching).
| [
"cs.DS"
] | cs.DS | Data Structures and Algorithms | 1,908Data Structures and Algorithms
|
|
2305.05180 | In this paper, we are concerned with a quasilinear Schrodinger equation with
well-known Berestycki--Lions nonliearity. The existence of infinitely many
normalized solutions is obtained via a minimax argument.
| [
"math.AP"
] | math.AP | Analysis of PDEs | 205Analysis of PDEs
|
|
1906.03980 | Precise understanding of the dynamics of trapped particles is crucial for
nascent quantum technologies, including atomic clocks and quantum simulators.
Here we present a framework to systematically include quantum effects arising
from the mass-energy equivalence in harmonically trapped systems. We find that
the mass-energy equivalence leads to squeezing, displacement and frequency
changes of harmonic modes associated with different internal energies. The
framework predicts new phenomena, notably, the existence of a lower bound to
the fractional frequency shift in atomic clocks arising from the interplay
between gravitational effects and so-called time dilation shifts. Analogous
effects will arise in other trapping potentials, especially in periodic
lattices, and may play a role in correlation dynamics and thermalisation
process in many-body systems and cold gases.
| [
"quant-ph",
"cond-mat.quant-gas"
] | quant-ph | cond-mat.quant-gas | Quantum Physics;Quantum Gases | 6,169Quantum Physics;Quantum Gases
|
2106.05348 | This article describes an action rule induction algorithm based on a
sequential covering approach. Two variants of the algorithm are presented. The
algorithm allows the action rule induction from a source and a target decision
class point of view. The application of rule quality measures enables the
induction of action rules that meet various quality criteria. The article also
presents a method for recommendation induction. The recommendations indicate
the actions to be taken to move a given test example, representing the source
class, to the target one. The recommendation method is based on a set of
induced action rules. The experimental part of the article presents the results
of the algorithm operation on sixteen data sets. As a result of the conducted
research the Ac-Rules package was made available.
| [
"cs.AI"
] | cs.AI | Artificial Intelligence | 361Artificial Intelligence
|
|
1911.04952 | We look into the connection between the musical and lyrical content of metal
music by combining automated extraction of high-level audio features and
quantitative text analysis on a corpus of 124.288 song lyrics from this genre.
Based on this text corpus, a topic model was first constructed using Latent
Dirichlet Allocation (LDA). For a subsample of 503 songs, scores for predicting
perceived musical hardness/heaviness and darkness/gloominess were extracted
using audio feature models. By combining both audio feature and text analysis,
we (1) offer a comprehensive overview of the lyrical topics present within the
metal genre and (2) are able to establish whether or not levels of hardness and
other music dimensions are associated with the occurrence of particularly harsh
(and other) textual topics. Twenty typical topics were identified and projected
into a topic space using multidimensional scaling (MDS). After Bonferroni
correction, positive correlations were found between musical hardness and
darkness and textual topics dealing with 'brutal death', 'dystopia', 'archaisms
and occultism', 'religion and satanism', 'battle' and '(psychological)
madness', while there is a negative associations with topics like 'personal
life' and 'love and romance'.
| [
"eess.AS",
"cs.CL",
"cs.SD"
] | eess.AS | cs.CL | Audio and Speech Processing;Computation and Language;Sound | 652Audio and Speech Processing;Computation and Language;Sound
|
1111.5360 | In this work we propose an alternative scheme for an Emergent Universe
scenario where the universe is initially in a static state supported by a
scalar field located in a false vacuum. The universe begins to evolve when, by
quantum tunneling, the scalar field decays into a state of true vacuum. The
Emergent Universe models are interesting since they provide specific examples
of nonsingular inflationary universes.
| [
"gr-qc",
"astro-ph.CO",
"hep-th"
] | gr-qc | astro-ph.CO | General Relativity and Quantum Cosmology;Cosmology and Nongalactic Astrophysics;High Energy Physics - Theory | 2,713General Relativity and Quantum Cosmology;Cosmology and Nongalactic Astrophysics;High Energy Physics - Theory
|
1807.06389 | The elastic scattering of twisted electrons by diatomic molecules is studied
within the framework of the non-relativistic first Born approximation. In this
process, the coherent interaction of incident electrons with two molecular
centers may cause interference patterns in the angular distributions of
outgoing particles. We investigate how this Young-type interference is
influenced by the complex internal structure of twisted beams. In particular,
we show that the corkscrew-like phase front and the inhomogeneous intensity
profile of the incident beam can strongly modify the angular distribution of
electrons, scattered off a single well-localized molecule. For the collision
with a macroscopic target, composed of randomly distributed but aligned
molecules, the angular-differential cross section may reveal valuable
information about the transverse and longitudinal momenta of twisted states. In
order to illustrate the difference between the scattering of twisted and
plane-wave beams for both, single-molecule and macroscopic-target scenarios,
detailed calculations have been performed for a H_2 target.
| [
"physics.atom-ph",
"quant-ph"
] | physics.atom-ph | quant-ph | Atomic Physics;Quantum Physics | 621Atomic Physics;Quantum Physics
|
math/0611806 | After introducing a noncommutative counterpart of commutative algebraic
geometry based on monoidal categories of quasi-coherent sheaves we show that
various constructions in noncommutative geometry (e.g. Morita equivalences,
Hopf-Galois extensions) can be given geometric meaning extending their
geometric interpretations in the commutative case. On the other hand, we show
that some constructions in commutative geometry (e.g. faithfully flat descent
theory, principal fibrations, equivariant and infinitesimal geometry) can be
interpreted as noncommutative geometric constructions applied to commutative
objects. For such generalized geometry we define global invariants constructing
cyclic objects from which we derive Hochschild, cyclic and periodic cyclic
homology (with coefficients) in the standard way.
| [
"math.QA",
"math.AG"
] | math.QA | math.AG | Quantum Algebra;Algebraic Geometry | 5,874Quantum Algebra;Algebraic Geometry
|
hep-th/0002010 | We derive properties of N-extended GR super Virasoro algebras. These include
adding central extensions, identification of all primary fields and the action
of the adjoint representation on its dual. The final result suggest
identification with the spectrum of fields in supergravity theories and
superstring/M-theory constructed from NSR N-extended supersymmetric ${\cal
{GR}}$ Virasoro algebras.
| [
"hep-th"
] | hep-th | High Energy Physics - Theory | 3,266High Energy Physics - Theory
|
|
1304.1529 | Three paediatric cardiologists assessed nearly 1000 imprecise subjective
conditional probabilities for a simple belief network representing congenital
heart disease, and the quality of the assessments has been measured using
prospective data on 200 babies. Quality has been assessed by a Brier scoring
rule, which decomposes into terms measuring lack of discrimination and
reliability. The results are displayed for each of 27 diseases and 24
questions, and generally the assessments are reliable although there was a
tendency for the probabilities to be too extreme. The imprecision allows the
judgements to be converted to implicit samples, and by combining with the
observed data the probabilities naturally adapt with experience. This appears
to be a practical procedure even for reasonably large expert systems.
| [
"cs.AI"
] | cs.AI | Artificial Intelligence | 361Artificial Intelligence
|
|
0903.3362 | Gaussian noise stability results have recently played an important role in
proving results in hardness of approximation in computer science and in the
study of voting schemes in social choice. We prove a new Gaussian noise
stability result generalizing an isoperimetric result by Borell on the heat
kernel and derive as applications:
* An optimality result for majority in the context of Condorcet voting.
* A proof of a conjecture on "cosmic coin tossing" for low influence
functions.
We also discuss a Gaussian noise stability conjecture which may be viewed as
a generalization of the "Double Bubble" theorem and show that it implies:
* A proof of the "Plurality is Stablest Conjecture".
* That the Frieze-Jerrum SDP for MAX-q-CUT achieves the optimal approximation
factor assuming the Unique Games Conjecture.
| [
"math.PR"
] | math.PR | Probability | 5,709Probability
|
|
0804.1201 | In Proteomics, only the de novo peptide sequencing approach allows a partial
amino acid sequence of a peptide to be found from a MS/MS spectrum. In this
article a preliminary work is presented to discover a complete protein sequence
from spectral data (MS and MS/MS spectra). For the moment, our approach only
uses MS spectra. A Genetic Algorithm (GA) has been designed with a new
evaluation function which works directly with a complete MS spectrum as input
and not with a mass list like the other methods using this kind of data. Thus
the mono isotopic peak extraction step which needs a human intervention is
deleted. The goal of this approach is to discover the sequence of unknown
proteins and to allow a better understanding of the differences between
experimental proteins and proteins from databases.
| [
"q-bio.QM"
] | q-bio.QM | Quantitative Methods | 5,827Quantitative Methods
|
|
1602.07682 | In this article, we impose a new class of fractional analytic functions in
the open unit disk. By considering this class, we define a fractional operator,
which is generalized Salagean and Ruscheweyh differential operators. Moreover,
by means of this operator, we introduce an interesting subclass of functions
which are analytic and univalent. Furthermore, this effort covers coefficient
bounds, distortions theorem, radii of starlikeness, convexity, bounded turning,
extreme points and integral means inequalities of functions belongs to this
class. Finally, applications involving certain fractional operators are
illustrated.
| [
"math.CV",
"math.FA"
] | math.CV | math.FA | Complex Variables;Functional Analysis | 1,154Complex Variables;Functional Analysis
|
1605.09058 | In this work we present a new methodology for orbit propagation, the hybrid
perturbation theory, based on the combination of an integration method and a
prediction technique. The former, which can be a numerical, analytical or
semianalytical theory, generates an initial approximation that contains some
inaccuracies derived from the fact that, in order to simplify the expressions
and subsequent computations, not all the involved forces are taken into account
and only low-order terms are considered, not to mention the fact that
mathematical models of perturbations not always reproduce physical phenomena
with absolute precision. The prediction technique, which can be based on either
statistical time series models or computational intelligence methods, is aimed
at modelling and reproducing missing dynamics in the previously integrated
approximation. This combination results in the precision improvement of
conventional numerical, analytical and semianalytical theories for determining
the position and velocity of any artificial satellite or space debris object.
In order to validate this methodology, we present a family of three hybrid
orbit propagators formed by the combination of three different orders of
approximation of an analytical theory and a statistical time series model, and
analyse their capability to process the effect produced by the flattening of
the Earth. The three considered analytical components are the integration of
the Kepler problem, a first-order and a second-order analytical theories,
whereas the prediction technique is the same in the three cases, namely an
additive Holt-Winters method.
| [
"physics.space-ph"
] | physics.space-ph | Space Physics | 6,764Space Physics
|
|
1611.08837 | We prove that p.q.-Baer *-ring forms a pseudo lattice with Conrads partial
order and also characterize p.q.-Baer *-rings which are lattices. The initial
segments of a p.q.-Baer *-ring with Conrads partial order are shown to be
orthomodular posets.
| [
"math.CO",
"math.RA"
] | math.CO | math.RA | Combinatorics;Rings and Algebras | 1,101Combinatorics;Rings and Algebras
|
1006.2105 | We investigate numerically the signatures of collective modes in the
tunneling spectra of superconductors. The larger strength of the signatures
observed in the high-Tc superconductors, as compared to classical low-Tc
materials, is explained by the low dimensionality of these layered compounds.
We also show that the strong-coupling structures are dips (zeros in the d2I/dV2
spectrum) in d-wave superconductors, rather than the steps (peaks in d2I/dV2)
observed in classical s-wave superconductors. Finally we question the
usefulness of effective density of states models for the analysis of tunneling
data in d-wave superconductors.
| [
"cond-mat.supr-con"
] | cond-mat.supr-con | Superconductivity | 7,066Superconductivity
|
|
1408.2483 | Networks of Kuramoto oscillators with a positive correlation between the
oscillators frequencies and the degree of the their corresponding vertices
exhibits the so-called explosive synchronization behavior, which is now under
intensive investigation. Here, we study and report explosive synchronization in
a situation that has not yet been considered, namely when only a part,
typically small, of the vertices is subjected to a degree frequency
correlation. Our results show that in order to have explosive synchronization,
it suffices to have degree-frequency correlations only for the hubs, the
vertices with the highest degrees. Moreover, we show that a partial
degree-frequency correlation does not only promotes but also allows explosive
synchronization to happen in networks for which a full degree-frequency
correlation would not allow it. We perform exhaustive numerical experiments for
synthetic networks and also for the undirected and unweighted version of the
neural network of the worm Caenorhabditis elegans. The latter is an explicit
example where partial degree-frequency correlation leads to explosive
synchronization with hysteresis, in contrast with the fully correlated case,
for which no explosive synchronization is observed.
| [
"nlin.AO",
"cond-mat.stat-mech",
"nlin.CD"
] | nlin.AO | cond-mat.stat-mech | Adaptation and Self-Organizing Systems;Statistical Mechanics;Chaotic Dynamics | 7,267longtail
|
1902.07413 | Inorganic nanoparticle cores are often coated with organic ligands to render
them dispersible in apolar solvents. However, the effect of the ligand shell on
the colloidal stability of the overall hybrid particle is not fully understood.
In particular, it is not known how the length of an apolar alkyl ligand chain
affects the stability of a nanoparticle dispersion against agglomeration. Here,
Small-Angle X-ray Scattering and molecular dynamics simulations have been used
to study the interactions between gold nanoparticles and between cadmium
selenide nanoparticles passivated by alkanethiol ligands with 12 to 18 carbons
in the solvent decane. We find that increasing the ligand length increases
colloidal stability in the core-dominated regime but decreases it in the
ligand-dominated regime. This unexpected inversion is connected to the
transition from ligand- to core-dominated agglomeration when the core diameter
increases at constant ligand length. Our results provide a microscopic picture
of the forces that determine the colloidal stability of apolar nanoparticles
and explain why classical colloid theory fails.
| [
"cond-mat.soft"
] | cond-mat.soft | Soft Condensed Matter | 6,537Soft Condensed Matter
|
|
cond-mat/9911404 | Based on an exact expression for the self-energy of the Jahn-Teller polaron,
we find that symmetry of pseudospin rotation makes the vertex correction much
less effective than that for the Holstein polaron. This ineffectiveness brings
about a smaller effective mass m^* and a quantitatively differenent
large-to-small polaron crossover, as examined by exact diagonalization in a
two-site system. In the strong-coupling and antiadiabatic region, a rigorous
analytic expression is found for m^*.
| [
"cond-mat.supr-con",
"cond-mat.stat-mech"
] | cond-mat.supr-con | cond-mat.stat-mech | Superconductivity;Statistical Mechanics | 7,100Superconductivity;Statistical Mechanics
|
hep-ph/0111469 | Current theoretical framework for the calculation of heavy quark production
in $\gamma\gamma$ collisions is reviewed. The importance of including direct
photon contributions up to the order $\alpha^2\alpha_s^2$ and of the proper
choice of renormalization and factorization scales in the evaluation of
$\sigma(\gamma\gamma\to Q\bar{Q})$ is emphasized.
| [
"hep-ph"
] | hep-ph | High Energy Physics - Phenomenology | 3,129High Energy Physics - Phenomenology
|
|
1904.08697 | Achieving high resolution time-of-arrival (TOA) estimation in multipath
propagation scenarios from bandlimited observations of communication signals is
challenging because the multipath channel impulse response (CIR) is not
bandlimited. Modeling the CIR as a sparse sequence of Diracs, TOA estimation
becomes a problem of parametric spectral inference from observed bandlimited
signals. To increase resolution without arriving at unrealistic sampling rates,
we consider multiband sampling approach, and propose a practical multibranch
receiver for the acquisition. The resulting data model exhibits multiple shift
invariance structures, and we propose a corresponding multiresolution TOA
estimation algorithm based on the ESPRIT algorithm. The performance of the
algorithm is compared against the derived Cram\'er Rao Lower Bound, using
simulations with standardized ultra-wideband (UWB) channel models. We show that
the proposed approach provides high-resolution estimates while reducing
spectral occupancy and sampling costs compared to traditional UWB approaches.
| [
"eess.SP",
"cs.NI"
] | eess.SP | cs.NI | Signal Processing;Networking and Internet Architecture | 6,449Signal Processing;Networking and Internet Architecture
|
1409.6383 | It is shown that spin polarization with respect to each flavor in
three-flavor quark matter occurs instead of the color-flavor locking at high
baryon density by using the Nambu-Jona-Lasinio model with four-point
tensor-type interaction. Also, it is indicated that the order of phase
transition between the color-flavor locked phase and the spin polarized phase
is the first order by means of the second order perturbation theory.
| [
"hep-ph",
"nucl-th"
] | hep-ph | nucl-th | High Energy Physics - Phenomenology;Nuclear Theory | 3,240High Energy Physics - Phenomenology;Nuclear Theory
|
1411.5597 | In this talk we discuss results of a new extraction of the MS-bar charm quark
mass using relativistic QCD sum rules at O(as**3) based on moments of the
vector and the pseudoscalar current correlators and using the available
experimental measurements from e+e- collisions and lattice results,
respectively. The analysis of the perturbative uncertainties is based on
different implementations of the perturbative series and on independent
variations of the renormalization scales for the mass and the strong coupling
following a work we carried out earlier. Accounting for the perturbative series
that result from this double scale variation is crucial since some of the
series can exhibit extraordinarily small scale dependence, if the two scales
are set equal. The new aspect of the work reported here adresses the problem
that double scale variation might also lead to an overestimate of the
perturbative uncertainties. We supplement the analysis by a convergence test
that allows to quantify the overall convergence of QCD perturbation theory for
each moment and to discard series that are artificially spoiled by specific
choices of the renormalization scales. We also apply the new method to an
extraction of the MS-bar bottom quark mass using experimental moments that
account for a modeling uncertainty associated to the continuum region where no
experimental data is available. We obtain m_c(m_c) = 1.287 +- 0.020 GeV and
m_b(m_b) = 4.167 +- 0.023 GeV.
| [
"hep-ph"
] | hep-ph | High Energy Physics - Phenomenology | 3,129High Energy Physics - Phenomenology
|
|
0803.1967 | We present new formalism for description of the neutrino oscillations in
matter with varying density. The formalism is based on the Magnus expansion and
has a virtue that the unitarity of the S-matrix is maintained in each order of
perturbation theory. We show that the Magnus expansion provides better
convergence of series: the restoration of unitarity leads to smaller deviations
from the exact results especially in the regions of large transition
probabilities. Various expansions are obtained depending on a basis of neutrino
states and a way one splits the Hamiltonian into the self-commuting and
non-commuting parts. In particular, we develop the Magnus expansion for the
adiabatic perturbation theory which gives the best approximation. We apply the
formalism to the neutrino oscillations in matter of the Earth and show that for
the solar oscillation parameters the second order Magnus adiabatic expansion
has better than 1% accuracy for all energies and trajectories. For the
atmospheric $\Delta m^2$ and small 1-3 mixing the approximation works well ($<
3 %$ accuracy for $\sin^2 \theta_{13} = 0.01$) outside the resonance region
(2.7 - 8) GeV.
| [
"hep-ph"
] | hep-ph | High Energy Physics - Phenomenology | 3,129High Energy Physics - Phenomenology
|
|
1707.01308 | Different questions related with analysis of extreme values and outliers
arise frequently in practice. To exclude extremal observations and outliers is
not a good decision because they contain important information about the
observed distribution. The difficulties with their usage are usually related to
the estimation of the tail index in case it exists. There are many measures for
the center of the distribution, e.g. mean, mode, median. There are many
measures of the variance, asymmetry, and kurtosis, but there is no easy
characteristic for heavy-tailedness of the observed distribution. Here we
propose such a measure, give some examples and explore some of its properties.
This allows us to introduce a classification of the distributions, with respect
to their heavy-tailedness. The idea is to help and navigate practitioners for
accurate and easier work in the field of probability distributions.
Using the properties of the defined characteristics some distribution
sensitive extremal index estimators are proposed and their properties are
partially investigated.
| [
"stat.ME",
"math.PR"
] | stat.ME | math.PR | Methodology;Probability | 4,590Methodology;Probability
|
2205.06864 | In this paper, we give a characterization of compact sets in $L^p$-spaces on
metric measure spaces, which is a generalization of the Kolmogorov-Riesz
theorem. Using the criterion, we investigate the topological type of the space
consisting of lipschitz maps with bounded supports.
| [
"math.GN",
"math.FA"
] | math.GN | math.FA | General Topology;Functional Analysis | 2,787General Topology;Functional Analysis
|
1511.03839 | The spot size of the x-ray source is a key parameter of a flash-radiography
facility, which is usually quoted as an evaluation of the resolving power. The
pinhole imaging technique is applied to measure the spot size of the Dragon-I
linear induction accelerator, by which a two-dimensional spatial distribution
of the source spot is obtained. Experimental measurements are performed to
measure the spot image when the transportation and focusing of the electron
beam is tuned by adjusting the currents of solenoids in the downstream section.
The spot size of full-width at half maximum and that defined from the spatial
frequency at half peak value of the modulation transfer function are calculated
and discussed.
| [
"physics.acc-ph",
"physics.ins-det"
] | physics.acc-ph | physics.ins-det | Accelerator Physics;Instrumentation and Detectors | 12Accelerator Physics;Instrumentation and Detectors
|