Alternative proof for the localization of Sinai's walk
Pierre Andreoletti
Abstract
We give an alternative proof of the localization of Sinai's random walk in random environment under weaker hypothesis than the ones used by Sinai. Moreover we give estimates that are stronger than the one of Sinai on the localization neighborhood and on the probability for the random walk to stay inside this neighborhood.
Create a lesson
Related papers
Almost sure exponential stability of multi-dimensional stochastic systems driven by a symmetric α-stable process
Xuekang Zhang, Hongjian Liu, Guangjun Shen
The Arc Threshold of the Two-Row Ising Torus: Exact Factorization, an Algebraic Critical Coupling, Uniformity in the Circumference, and the Rate of Convergence
Marco Mandap
Markovian Lifts and Multifactor Approximations for Weighted Sub-fractional Brownian Motion
J. H. Ramirez-Gonzalez, Edison Cuba
Rényi mixing bounds for kinetic samplers via L2 hypocoercivity
Jianfeng Lu, Yinchen Luo
Bayesian Filters via the Stochastic Category
Kenichi Bannai, Masahiro Kurisaki
Synchronization of Enriched Spin Glasses
Franziska Engler, Justin Ko