Random logistic maps and Lyapunov exponents
type: Item
instance of: scholarly article
title: Random logistic maps and Lyapunov exponents
zbMATH Open document ID: 1022.37036
DOI: 10.1016/S0019-3577(01)80042-2
author: David Steinsaltz
published in: Indagationes Mathematicae. New Series
publication date: 2003-10-27T00:00:00Z
review text: The author studies iterates logistic maps with random i.i.d. parameters. He shows that when the Lyapunov exponent is negative the iterates converge to a random point, called a random point attractor, which is independent of the initial point. The distribution of this random point is the invariant measure of the corresponding Markov chain. If the Lyapunov exponent is positive such convergence does not take place.
reviewed by: Yuri Kifer
Mathematics Subject Classification ID: 37H15
Mathematics Subject Classification ID: 60J05
Mathematics Subject Classification ID: 37E05
Mathematics Subject Classification ID: 37A05
zbMATH DE Number: 1893621
zbMATH Keywords: random logistic map
zbMATH Keywords: Lyapunov exponents
zbMATH Keywords: random attractor
zbMATH Keywords: invariant measure
zbMATH Keywords: Markov chain
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1893621