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Central Limit Theorem for Random “Contractive” Functions on Interval

We use the approach from Czudek and Szarek (see [1]) to prove the central limit theorem for a stationary Markov chain generated by an iterative function system for a family of increasing, injective functions on [0, 1] with “contractive” properties. We introduce a new approach to prove existence of a...

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Principais autores: Block Maciej, Kacprzak Wiktoria, Falęcki Dorian
Format: Artigo
Sprog:Inglês
Udgivet: Sciendo 2025-04-01
Serier:Annales Mathematicae Silesianae
Fag:
60f05
60j25
37a25
iterated function systems
markov operators
ergodicity
central limit theorems
Online adgang:https://doi.org/10.2478/amsil-2025-0005
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