Almost Sure Invariance Principle for Continuous-Space Random Walk in Dynamic Random Environment

Details Almost Sure Invariance Principle for Continuous-Space Random Walk in Dynamic Random Environment Almost Sure Invariance Principle for Continuous-Space Random Walk in Dynamic Random Environment

2010-04-06

arxiv.org/abs/1004.0920v2

Mathematics

Probability

minor typos fixed

Scientific paper

We consider a random walk on $\R^d$ 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.

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