Work

Central Limit Theorem for Random “Contractive” Functions on Interval

Year: 2025

Type: article

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]).

Source: Annales Mathematicae Silesianae

DOI: 10.2478/amsil-2025-0005

Authors: Maciej Block, Wiktoria Kacprzak, Dorian Falęcki

Institution: Gdańsk University of Technology

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4409838032

FWCI:

Cites: 5

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Related to: 10