Ergodic Theorem for nonstationary random walks on compact abelian groups

Fuente: arXiv
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Main Author: Monakov, Grigorii
Format: Preprint
Published: 2023
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author Monakov, Grigorii
author_facet Monakov, Grigorii
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2307_05798
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Ergodic Theorem for nonstationary random walks on compact abelian groups
Monakov, Grigorii
Dynamical Systems
Probability
37H05, 37B05, 60J05
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.
title Ergodic Theorem for nonstationary random walks on compact abelian groups
topic Dynamical Systems
Probability
37H05, 37B05, 60J05
url https://arxiv.org/abs/2307.05798