Mosc. Math. J., 2021 Volume 21, Number 1, Pages 175–190
(Mi mmj790)
|
This article is cited in
4 papers
The central limit theorem for iterated function systems on the circle
Tomasz Szareka,
Anna Zdunikb a Institute of Mathematics Polish Academy of Sciences, Abrahama 18, 81-967 Sopot, Poland
b Institute of Mathematics, University of Warsaw, ul. Banacha 2, 02-097 Warszawa, Poland
Abstract:
The Central Limit Theorem for Markov chains generated by iterated functions systems consisting of homeomorphisms of the circle is proved.
Key words and phrases:
iterated function systems, Markov operators, invariant measures, Central Limit Theorems.
MSC: Primary
60F05,
60J05; Secondary
37A25,
37H30
Language: English
DOI:
10.17323/1609-4514-2021-21-1-175-190
© , 2024