Ergodic properties of a randomly perturbed family of piecewise \(C^ 2\)-diffeomorphisms in \(\mathbb{R}^ d\)
type: Item
instance of: scholarly article
title: Ergodic properties of a randomly perturbed family of piecewise \(C^ 2\)-diffeomorphisms in \(\mathbb{R}^ d\)
zbMATH Open document ID: 0876.58043
DOI: 10.1007/PL00004585
published in: Mathematische Zeitschrift
publication date: 1997-07-03T00:00:00Z
review text: A randomly perturbed dynamical system is investigated by means of specific techniques (due to the present author), used before in connection with a Bernoulli property of some piecewise diffeomorphisms, ergodic maps and invariant measures for Markov maps of an interval. The main theorems of the paper establish conditions that ensure the convergence of the sequence of probability distributions (generated by the randomly perturbed system) to a unique stationary density.
Mathematics Subject Classification ID: 37J40
Mathematics Subject Classification ID: 60G10
Mathematics Subject Classification ID: 37A99
zbMATH DE Number: 1028162
zbMATH Keywords: random ergodic theorems
zbMATH Keywords: invariant densities
zbMATH Keywords: random maps
zbMATH Keywords: Frobenius-Perron operator
author: Piotr. Bugiel
reviewed by: Piotr Garbaczewski
MaRDI profile type: Publication
full work available at URL: pl00004585
OpenAlex ID: W2073775300
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description: scientific article; zbMATH DE number 1028162