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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 ...
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.
Annealed Brownian motion in a heavy tailed Poissonian potential
Brownian motion random media parabolic Anderson model Poissonian potential
2011/9/5
Abstract: Consider a $d$-dimensional Brownian motion in a random potential defined by attaching a non-negative and polynomially decaying potential around Poisson points. We introduce a repulsive inter...
Superdiffusivity for Brownian motion in a Poissonian potential with long range correlation II: upper bound on the volume exponent
Streched Polymer Quenched Disorder Superdiffusivity Brownian Motion Poissonian Obstacles Correlation
2011/8/26
Abstract: This paper continues a study on trajectories of Brownian Motion in a field of soft trap whose radius distribution is unbounded. We show here for both point-to-point and point-to-plane model ...
Potential theory of one-dimensional geometric stable processes
geometric stable process Green function first exit time tail function Poisson kernel Levy process
2011/8/25
Abstract: The purpose of this paper is to find optimal estimates for the Green function and the Poisson kernel for a half-line and intervals of the geometric stable process with parameter $\alpha\in(0...