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8 papers · 2 filters
Uniform contractivity in Wasserstein metric for the original 1D Kac's model
Maxime Hauray
We study here a very popular 1D jump model introduced by Kac: it consists of velocities encountering random binary collisions at which they randomly exchange energy. We show th…
Averaging for SDE-BSDE with null recurrent fast component Application to homogenization in a non periodic media
K Bahlali, A Elouaflin, E Pardoux
We establish an averaging principle for a family of solutions of a system…
Parabolic Anderson model in a dynamic random environment: random conductances
Dirk Erhard, Frank den Hollander, Gregory Maillard
The parabolic Anderson model is defined as the partial differential equation \partial u(x,t)/\partial t = κΔu(x,t) + ξ(x,t)u(x,t), x\in\Z^d, t\geq 0, where κ\in [0,\infty) is the d…
Rigidity of Determinantal Point Processes with the Airy, the Bessel and the Gamma Kernel
Alexander I. Bufetov
A point process is said to be rigid if for any bounded domain in the phase space, the number of particles in the domain is almost surely determined by the restriction of the config…
A proof of the Shepp-Olkin entropy concavity conjecture
Erwan Hillion, Oliver Johnson
We prove the Shepp--Olkin conjecture, which states that the entropy of the sum of independent Bernoulli random variables is concave in the parameters of the individual random varia…
A class of stochastic differential equations with super-linear growth and non-Lipschitz coefficients
Khaled Bahlali, Antoine Hakassou, Youssef Ouknine
The purpose of this paper is to study some properties of solutions to one dimensional as well as multidimensional stochastic differential equations (SDEs in short) with super-linea…