Moscow Mathematical Journal

Volume 23, Issue 4, October–December 2023 pp. 515–532.

Non-Stationary Version of Ergodic Theorem for Random Dynamical Systems

Authors: Anton Gorodetski (1) and Victor Kleptsyn (2)
Author institution:(1) Department of Mathematics, University of California, Irvine, CA 92697, USA
(2) CNRS, Institute of Mathematical Research of Rennes, IRMAR, UMR 6625 du CNRS

Summary:

We prove a version of pointwise ergodic theorem for non-stationary random dynamical systems. Also, we discuss two specific examples where the result is applicable: non-stationary iterated function systems and non-stationary random matrix products.

2020 Math. Subj. Class. 37A30, 37A50, 37H05, 60F10

Keywords: Non-stationary ergodic theorem, random dynamical systems, random matrix products.

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