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FRAME POTENTIAL AND FINITE ABELIAN GROUPS
tight frame frame potential finite abelian group sampling
2015/12/10
This article continues a prior investigation of the authors with the goal of extending characterization results of convolutional tight frames from the context of cyclic groups to general finite abelia...
Minimization of the Probabilistic p-frame Potential
Frame potential equiangular tight frames probabilistic frames
2015/12/10
We investigate the optimal configurations of n points on the unit sphere for a class of potential functions. In particular, we characterize these optimal configurations in terms of theirapproximation ...
Steady advection–diffusion around finite absorbers in two-dimensional potential flows
Steady advection–diffusion finite absorbers two-dimensional potential flows
2015/10/16
We consider perhaps the simplest non-trivial problem in advection–diffusion – a finite absorber of arbitrary cross-section in a steady two-dimensional potential flow of concentrated fluid. This proble...
CENTRAL LIMIT THEOREM FOR RECURRENT RANDOM WALKS ON A STRIP WITH BOUNDED POTENTIAL
RANDOM WALKS CENTRAL LIMIT THEOREM
2015/9/29
We prove that a recurrent random walk (RW) in i.i.d. random
environment (RE) on a strip which does not obey the Sinai law exhibits the
Central Limit asymptotic behaviour.
The Existence of Pair Potential Corresponding to Specified Density and Pair Correlation
Gibbs Field Gibbs Measure Cluster Functions Pair Potential Corrlation Functions Ursell Functions
2015/9/28
Given a potential of pair interaction and a value of activity, one can consider the Gibbs distribution in a finite domain Λ ⊂ Z d . It is well known that for small values of activity there...
An Inverse Problem for Gibbs Fields with Hard Core Potential
Gibbs Field Gibbs Measure Cluster Functions Pair Potential Corre-lation Functions Ursell Functions
2015/9/28
It is well known that for a regular stable potential of pair interaction and a small value of activity one can define the corresponding Gibbs field (a measure on the space of configurations of points ...
A primal-dual potential reduction method for problems involving matrix inequalities
Interior point algorithms Linear matrix inequaliües Semidefinite programming
2015/8/11
We describe a potential reduction method for convex optimization problems involving matrix inequalities. The method is based on the theory developed by Nesterov and Nemirovsky and generalizes Gonzaga ...
Fluctuations of solutions to Wigner equation with an Ornstein-Uhlenbeck potential
Fluctuations of solutions Wigner equation Ornstein-Uhlenbeck potential
2015/7/14
We consider energy fluctuations for solutions of the Schrodinger equation with an OrnsteinUhlenbeck random potential when the initial data is spatially localized. The limit of the fluctuations of the ...
THE GROMOV-WITTEN POTENTIAL OF A POINT, HURWITZ NUMBERS, AND HODGE INTEGRALS
Hurwitz numbers Gromov-Witten potential moduli space
2015/7/14
It is the Deligne-Mumford compacti cation of the moduli space Mg;n of smooth
n-pointed genus g curves. It has n natural line bundles Li (roughly, the cotangent
space to the ith marked point) and a n...
Stationary Wigner Equation with In ow Boundary Conditions: Will a Symmetric Potential Yield a Symmetric Solution
Wigner equation In ow boundary conditions Well-posedness.
2014/9/26
Based on the well-posedness of the stationary Wigner equation with in
ow bound-ary conditions given in [1], we prove without any additional prerequisite conditions
that the solution of the Wigner eq...
Accuracy and efficiency in computing electrostatic potential for an ion channel model in layered dielectric/electrolyte media
Poisson-Boltzmann equation layered electrolytes and dielectrics
2014/9/26
This paper will investigate the numerical accuracy and efficiency in computing the
electrostatic potential for a finite-height cylinder, used in an explicit/implicit hy-brid solvation model for ion c...
Complete Integrability for Hamiltonian Systems with a Cone Potential
Complete Integrability Hamiltonian Systems Cone Potential
2012/4/26
It is known that, if a point in $R^n$ is driven by a bounded below potential $V$, whose gradient is always in a closed convex cone which contains no lines, then the velocity has a finite limit as time...
Reconstruction of a potential from the impedance boundary map
Reconstruction potential the impedance boundary map Analysis of PDEs
2012/4/17
We give formulas and equations for finding generalized scattering data for the Schr\"odinger equation in open bounded domain at fixed energy from the impedance boundary map (or Robin-to-Robin map). Co...
Homoclinic solutions for a class of non-autonomous Hamiltonian systems with potential changing sign
Homoclinic solutions Critical point Variational methods
2011/10/12
In this paper we are devoted to considering the existence of homoclinic solutions for some second order non-autonomous Hamiltonian system with the potential changing sign. The proof is based on the st...
Semi-classical states for the Nonlinear Schroinger Equation on saddle points of the potential via variational methods
Nonlinear Schrodinger Equation Semiclassical states Variational Methods
2011/9/22
Abstract: In this paper we study semiclassical states for the problem $$ -\eps^2 \Delta u + V(x) u = f(u) \qquad \hbox{in} \RN,$$ where $f(u)$ is a superlinear nonlinear term. Under our hypotheses on ...
