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Law of Large Numbers for a Finite-range Random Walk in a Dynamic Random Environment with Nonuniform Mixing by Allasia, Julien is a scholarly article available to read on EtoBox.

What is Law of Large Numbers for a Finite-range Random Walk in a Dynamic Random Environment with Nonuniform Mixing about?

In this paper, we study random walks evolving on Z in a dynamic random environment that we assume to have time correlations that decrease polynomially fast. We show a law of large numbers by generalizing methods already used for the nearest-neighbor framework to the finite-range one. This requires some new ideas to get around the absence of a monotonicity property that was crucial in the proof for the nearest-neighbour case. Our proof works both in discrete and continuous time.

Author

Allasia, Julien

Published

2023

Language

EN