Strong Unique Ergodicity of Random Dynamical Systems on Polish Spaces

Paweł Płonka

Annales Mathematicae Silesianae (2016)

  • Volume: 30, Issue: 1, page 129-142
  • ISSN: 0860-2107

Abstract

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In this paper we want to show the existence of a form of asymptotic stability of random dynamical systems in the sense of L. Arnold using arguments analogous to those presented by T. Szarek in [6], that is showing it using conditions generalizing the notion of tightness of measures. In order to do that we use tightness theory for random measures as developed by H. Crauel in [2].

How to cite

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Paweł Płonka. "Strong Unique Ergodicity of Random Dynamical Systems on Polish Spaces." Annales Mathematicae Silesianae 30.1 (2016): 129-142. <http://eudml.org/doc/286740>.

@article{PawełPłonka2016,
abstract = {In this paper we want to show the existence of a form of asymptotic stability of random dynamical systems in the sense of L. Arnold using arguments analogous to those presented by T. Szarek in [6], that is showing it using conditions generalizing the notion of tightness of measures. In order to do that we use tightness theory for random measures as developed by H. Crauel in [2].},
author = {Paweł Płonka},
journal = {Annales Mathematicae Silesianae},
keywords = {random dynamical systems; invariant measures; asymptotic stability},
language = {eng},
number = {1},
pages = {129-142},
title = {Strong Unique Ergodicity of Random Dynamical Systems on Polish Spaces},
url = {http://eudml.org/doc/286740},
volume = {30},
year = {2016},
}

TY - JOUR
AU - Paweł Płonka
TI - Strong Unique Ergodicity of Random Dynamical Systems on Polish Spaces
JO - Annales Mathematicae Silesianae
PY - 2016
VL - 30
IS - 1
SP - 129
EP - 142
AB - In this paper we want to show the existence of a form of asymptotic stability of random dynamical systems in the sense of L. Arnold using arguments analogous to those presented by T. Szarek in [6], that is showing it using conditions generalizing the notion of tightness of measures. In order to do that we use tightness theory for random measures as developed by H. Crauel in [2].
LA - eng
KW - random dynamical systems; invariant measures; asymptotic stability
UR - http://eudml.org/doc/286740
ER -

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