Ergodic Theorem for nonstationary random walks on compact abelian groups
Dynamical Systems
2024-07-30 v2 Probability
Abstract
We consider a nonstationary random walk on a compact metrizable abelian group. Under a classical strict aperiodicity assumption we establish a weak-* convergence to the Haar measure, Ergodic Theorem and Large Deviation Type Estimate.
Cite
@article{arxiv.2307.05798,
title = {Ergodic Theorem for nonstationary random walks on compact abelian groups},
author = {Grigorii Monakov},
journal= {arXiv preprint arXiv:2307.05798},
year = {2024}
}