English

Ergodicity and central limit theorem for random interval homeomorphisms

Dynamical Systems 2020-03-24 v1

Abstract

The central limit theorem for Markov chains generated by iterated function systems consisting of orientation preserving homeomorphisms of the interval is proved. We study also ergodicity of such systems.

Keywords

Cite

@article{arxiv.2003.09490,
  title  = {Ergodicity and central limit theorem for random interval homeomorphisms},
  author = {Klaudiusz Czudek and Tomasz Szarek},
  journal= {arXiv preprint arXiv:2003.09490},
  year   = {2020}
}

Comments

17 pages; accepted to publication in Israel Journal of Mathematics

R2 v1 2026-06-23T14:22:02.757Z