Quenched local central limit theorem for random walks in a time-dependent balanced random environment

Jean-Dominique Deuschel; Xiaoqin Guo

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arXiv · 1710.05508

Quenched local central limit theorem for random walks in a time-dependent balanced random environment

Jean-Dominique Deuschel·Xiaoqin Guo

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Abstract

We prove a quenched local central limit theorem for continuous-time random walks in $\mathbb Z^d, d\ge 2$, in a uniformly-elliptic time-dependent balanced random environment which is ergodic under space-time shifts. We also obtain Gaussian upper and lower bounds for quenched and (positive and negative) moment estimates of the transition probabilities and asymptotics of the discrete Green function.

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BibTeX RIS

Jean-Dominique Deuschel, Xiaoqin Guo. 2017-10-16. Quenched local central limit theorem for random walks in a time-dependent balanced random environment. https://arxiv.org/abs/1710.05508

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