English

Non-stationary version of Ergodic Theorem for random dynamical systems

Dynamical Systems 2023-05-10 v1 Probability

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.

Keywords

Cite

@article{arxiv.2305.05028,
  title  = {Non-stationary version of Ergodic Theorem for random dynamical systems},
  author = {Anton Gorodetski and Victor Kleptsyn},
  journal= {arXiv preprint arXiv:2305.05028},
  year   = {2023}
}

Comments

17 pages

R2 v1 2026-06-28T10:29:10.575Z