Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Ergodic theorem for nonstationary random walks on compact abelian groups
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by Grigorii Monakov;
Proc. Amer. Math. Soc. 152 (2024), 3855-3866
DOI: https://doi.org/10.1090/proc/16848
Published electronically: July 1, 2024

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.
References
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Bibliographic Information
  • Grigorii Monakov
  • Affiliation: Department of Mathematics, University of California, Irvine, California 92697
  • MR Author ID: 1453118
  • Email: gmonakov@uci.edu
  • Received by editor(s): August 28, 2023
  • Received by editor(s) in revised form: February 14, 2024, and March 4, 2024
  • Published electronically: July 1, 2024
  • Additional Notes: The author was supported in part by NSF grant DMS–2247966.
  • Communicated by: Katrin Gelfert
  • © Copyright 2024 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 152 (2024), 3855-3866
  • MSC (2020): Primary 37H05, 37B05, 60J05
  • DOI: https://doi.org/10.1090/proc/16848
  • MathSciNet review: 4781979