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Published: 2025-04-26
2024

Central limit theorem for random "contractive" functions on interval

Maciej Block , Wiktoria Kacprzak , Dorian Falęcki

Abstract

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 an unique invariant measure using e-property (see [2]).

Keywords:

iterated function systems , Markov operators , ergodicity , central limit theorems

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Block, M., Kacprzak, W., & Falęcki, D. (2025). Central limit theorem for random "contractive" functions on interval. Annales Mathematicae Silesianae. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/18816

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2024
Published: 2024-01-18

ISSN: 0860-2107
eISSN: 2391-4238
Ikona DOI 10.2478/amsil
Publisher
University of Silesia Press
Licence CC Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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