612 research outputs found
Convex Combinatorial Optimization
We introduce the convex combinatorial optimization problem, a far reaching
generalization of the standard linear combinatorial optimization problem. We
show that it is strongly polynomial time solvable over any edge-guaranteed
family, and discuss several applications
Effects of atomic interactions on Quantum Accelerator Modes
We consider the influence of the inclusion of interatomic interactions on the
delta-kicked accelerator model. Our analysis concerns in particular quantum
accelerator modes, namely quantum ballistic transport near quantal resonances.
The atomic interaction is modelled by a Gross-Pitaevskii cubic nonlinearity,
and we address both attractive (focusing) and repulsive (defocusing) cases. The
most remarkable effect is enhancement or damping of the accelerator modes,
depending on the sign of the nonlinear parameter. We provide arguments showing
that the effect persists beyond mean-field description, and lies within the
experimentally accessible parameter range.Comment: 4 pages, 6 figure
Relative systoles of relative-essential 2-complexes
We prove a systolic inequality for the phi-relative 1-systole of a
phi-essential 2-complex, where phi is a homomorphism from the fundamental group
of the complex, to a finitely presented group G. Indeed we show that
universally for any phi-essential Riemannian 2-complex, and any G, the area of
X is bounded below by 1/8 of sys(X,phi)^2. Combining our results with a method
of Larry Guth, we obtain new quantitative results for certain 3-manifolds: in
particular for Sigma the Poincare homology sphere, we have sys(Sigma)^3 < 24
vol(Sigma).Comment: 20 pages, to appear in Algebraic and Geometric Topolog
Neutron Stars with a Stable, Light Supersymmetric Baryon
If a light gluino exists, the lightest gluino-containing baryon, the \OSO, is
a possible candidate for self-interacting dark matter. In this scenario, the
simplest explanation for the observed ratio
is that \MeVcs; this is not at present excluded by particle
physics. Such an \OSO could be present in neutron stars, with hyperon formation
serving as an intermediate stage. We calculate equilibrium compositions and
equation of state for high density matter with the \OSO, and find that for a
wide range of parameters the properties of neutron stars with the \OSO are
consistent with observations. In particular, the maximum mass of a nonrotating
star is , and the presence of the \OSO is helpful in
reconciling observed cooling rates with hyperon formation.Comment: ApJL submitted, 4 pages, using emulateapj (very very minor changes to
match published versio
Bed-parallel slip : Identifying missing displacement in mass transport deposits
RW was supported by the Israel Science Foundation (ISF grant No. 868/17). SM acknowledges the Israel Science Foundation (ISF grant No. 1645/19). TL acknowledges the Israeli government GSI DS project 40706.Peer reviewedPostprin
On Some Positivity Properties of the Interquark Potential in QCD
We prove that the Fourier transform of the exponential e^{-\b V(R)} of the
{\bf static} interquark potential in QCD is positive. It has been shown by
Eliott Lieb some time ago that this property allows in the same limit of static
spin independent potential proving certain mass relation between baryons with
different quark flavors.Comment: 6 pages, latex with one postscript figur
Super-diffusion in optical realizations of Anderson localization
We discuss the dynamics of particles in one dimension in potentials that are
random both in space and in time. The results are applied to recent optics
experiments on Anderson localization, in which the transverse spreading of a
beam is suppressed by random fluctuations in the refractive index. If the
refractive index fluctuates along the direction of the paraxial propagation of
the beam, the localization is destroyed. We analyze this broken localization,
in terms of the spectral decomposition of the potential. When the potential has
a discrete spectrum, the spread is controlled by the overlap of Chirikov
resonances in phase space. As the number of Fourier components is increased,
the resonances merge into a continuum, which is described by a Fokker-Planck
equation. We express the diffusion coefficient in terms of the spectral
intensity of the potential. For a general class of potentials that are commonly
used in optics, the solutions of the Fokker-Planck equation exhibit anomalous
diffusion in phase space, implying that when Anderson localization is broken by
temporal fluctuations of the potential, the result is transport at a rate
similar to a ballistic one or even faster. For a class of potentials which
arise in some existing realizations of Anderson localization atypical behavior
is found.Comment: 11 pages, 2 figure
Arnol'd Tongues and Quantum Accelerator Modes
The stable periodic orbits of an area-preserving map on the 2-torus, which is
formally a variant of the Standard Map, have been shown to explain the quantum
accelerator modes that were discovered in experiments with laser-cooled atoms.
We show that their parametric dependence exhibits Arnol'd-like tongues and
perform a perturbative analysis of such structures. We thus explain the
arithmetical organisation of the accelerator modes and discuss experimental
implications thereof.Comment: 20 pages, 6 encapsulated postscript figure
SubspaceNet: Deep Learning-Aided Subspace Methods for DoA Estimation
Direction of arrival (DoA) estimation is a fundamental task in array
processing. A popular family of DoA estimation algorithms are subspace methods,
which operate by dividing the measurements into distinct signal and noise
subspaces. Subspace methods, such as Multiple Signal Classification (MUSIC) and
Root-MUSIC, rely on several restrictive assumptions, including narrowband
non-coherent sources and fully calibrated arrays, and their performance is
considerably degraded when these do not hold. In this work we propose
SubspaceNet; a data-driven DoA estimator which learns how to divide the
observations into distinguishable subspaces. This is achieved by utilizing a
dedicated deep neural network to learn the empirical autocorrelation of the
input, by training it as part of the Root-MUSIC method, leveraging the inherent
differentiability of this specific DoA estimator, while removing the need to
provide a ground-truth decomposable autocorrelation matrix. Once trained, the
resulting SubspaceNet serves as a universal surrogate covariance estimator that
can be applied in combination with any subspace-based DoA estimation method,
allowing its successful application in challenging setups. SubspaceNet is shown
to enable various DoA estimation algorithms to cope with coherent sources,
wideband signals, low SNR, array mismatches, and limited snapshots, while
preserving the interpretability and the suitability of classic subspace
methods.Comment: Under review for publication in the IEE
On High-Energy Behavior of Cross Sections in Theories with Large Extra Dimensions
We discuss the high-energy behavior of cross sections in theories with large
extra dimensions and low-scale quantum gravity, addressing two particular
issues: (i) the tension of the D-branes, and (ii) bounds on the cross section
and their relation to approximations in the mode sum over Kaluza-Klein-graviton
exchanges.Comment: 6 pages, late
- âŠ