Topological fixed point theorems do not hold for random dynamical systems
type: Item
instance of: scholarly article
title: Topological fixed point theorems do not hold for random dynamical systems
zbMATH Open document ID: 0939.37002
DOI: 10.1023/A:1022670227876
author: Gunter Ochs
author: Valery Oseledets
published in: Journal of Dynamics and Differential Equations
publication date: 2000-07-06T00:00:00Z
review text: The main goal of the authors is to know, whether it is possible to generalize topological fixed point theorems to the case of random dynamical systems, which means that under reasonable assumptions every continuous random dynamical systems on the closed unit ball in \(\mathbb{R}^d\) has a random invariant point. The authors prove that there do not exist canonical generalizations of this theorem. To this end the authors use tools from algebraic ergodic theory.
Mathematics Subject Classification ID: 37A25
Mathematics Subject Classification ID: 37H10
zbMATH DE Number: 1389694
zbMATH Keywords: random dynamical systems
zbMATH Keywords: topological fixed theorem
zbMATH Keywords: ergodic theory
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
full work available at URL: a:1022670227876
OpenAlex ID: W1912450606
description: scientific article; zbMATH DE number 1389694