Anton Gorodetski, Victor Kleptsyn, “Non-stationary version of ergodic theorem for random dynamical systems”, Mosc. Math. J., 2023, Volume 23, Number 4,Pages <nobr>515

Non-stationary version of ergodic theorem for random dynamical systems

Anton Gorodetski^a, Victor Kleptsyn^b

^a Department of Mathematics, University of California, Irvine, CA 92697, USA
^b CNRS, Institute of Mathematical Research of Rennes, IRMAR, UMR 6625 du CNRS

Abstract: 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.

Key words and phrases: non-stationary ergodic theorem, random dynamical systems, random matrix products.

MSC: 37A30, 37A50, 37H05, 60F10

Language: English