Almost Sure Invariance Principle for Continuous-Space Random Walk in Dynamic Random Environment
Probability
2010-12-14 v2
Abstract
We consider a random walk on in a polynomially mixing random environment that is refreshed at each time step. We use a martingale approach to give a necessary and sufficient condition for the almost-sure functional central limit theorem to hold.
Cite
@article{arxiv.1004.0920,
title = {Almost Sure Invariance Principle for Continuous-Space Random Walk in Dynamic Random Environment},
author = {Mathew Joseph and Firas Rassoul-Agha},
journal= {arXiv preprint arXiv:1004.0920},
year = {2010}
}
Comments
minor typos fixed