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

2010/04/06 by Mathew Joseph, Joseph, Mathew, Firas Rassoul-Agha +1
Mathematics · #60F17 #60J05 #60K37 #82D30 #FOS: Mathematics #Probability (math.PR) #math.PR #msc:60F17 #msc:60J05 #msc:60K37 #msc:82D30

paper · pdf · doi:10.48550/arxiv.1004.0920

minor typos fixed

arxiv created 2010/12/12 · arxiv updated 2010/12/14

Abstract

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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