Dynamical random walk on the integers with a drift

2020/08/09 by Dmitry Dolgopyat, Dolgopyat, D., Davit Karagulyan +1
Mathematics · #Mathematical Dynamics and Fractals #Stochastic processes and statistical mechanics #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2008.03816

Abstract

In this note we study dynamical random walks (DRW) with internal states. We consider a particle which performs a dynamical random walk on ℤ and whose local dynamics is given by expanding maps. We provide sufficient conditions for the position of the particle z_n to satisfy the Central Limit Theorem.

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