Dynamical random walk on the integers with a drift
Dynamical Systems
2021-10-07 v2 Probability
Spectral Theory
Abstract
In this note we study dynamical random walks (DRW) with internal states. We consider a particle which performs a dynamical random walk on and whose local dynamics is given by expanding maps. We provide sufficient conditions for the position of the particle to satisfy the Central Limit Theorem.
Cite
@article{arxiv.2008.03816,
title = {Dynamical random walk on the integers with a drift},
author = {D. Dolgopyat and D. Karagulyan},
journal= {arXiv preprint arXiv:2008.03816},
year = {2021}
}
Comments
A major revision