Dynamical random walk on the integers with a drift

Abstract

In this note we study dynamical random walks (DRW) with internal states. We consider a particle which performs a dynamical random walk on $\mathbb{Z}$ 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.

A major revision

References in corpus (1)

• Local Limit Theorems for Random Walks in a Random Environment on a Strip