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JOURNALS // Moscow Mathematical Journal // Archive

Mosc. Math. J., 2021 Volume 21, Number 1, Pages 175–190 (Mi mmj790)

This article is cited in 3 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



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© Steklov Math. Inst. of RAS, 2024