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arXiv · 2008.03816

Dynamical random walk on the integers with a drift

D. Dolgopyat·D. Karagulyan
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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.

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D. Dolgopyat, D. Karagulyan. 2021-10-06. Dynamical random walk on the integers with a drift. https://arxiv.org/abs/2008.03816

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