Random dynamical systems arising from iterated function systems with place-dependent probabilities
type: Item
instance of: scholarly article
title: Random dynamical systems arising from iterated function systems with place-dependent probabilities
zbMATH Open document ID: 0990.37042
DOI: 10.1016/S0167-7152(00)00130-9
author: Anna A. Kwiecińska
author: Wojciech Słomczyński
published in: Statistics \& Probability Letters
publication date: 2002-08-17T00:00:00Z
review text: The authors assume that a given iterated function system (IFS) admits an invariant and attractive measure. Under this assumption, the authors then construct a probability space \((S,V,P)\) and an ergodic mapping \(f\) related to this IFS. The authors prove that the IFS considered has the structure of a random dynamical system with time \(T\) as the set of natural numbers. If, in addition, it is an IFS of homeomorphisms, then the time can be extended to all integers. The random dynamical systems have been studied here from the point of view of \textit{L. Arnold} [Random dynamical systems, Springer (1998; Zbl 0906.34001)].
reviewed by: A. Mukherjea
Mathematics Subject Classification ID: 37H15
Mathematics Subject Classification ID: 28A80
Mathematics Subject Classification ID: 60J05
zbMATH DE Number: 1556862
zbMATH Keywords: iterated function system
zbMATH Keywords: probability space
zbMATH Keywords: ergodic mapping
MaRDI profile type: Publication
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full work available at URL: s0167-7152(00)00130-9
OpenAlex ID: W2086295404
description: scientific article; zbMATH DE number 1556862