<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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 <xref ref-type="bibr" rid="j_amsil-2016-0002_ref_006_w2aab2b8c18b1b7b1ab1ab6Aa">[6]</xref>, 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 <xref ref-type="bibr" rid="j_amsil-2016-0002_ref_002_w2aab2b8c18b1b7b1ab1ab2Aa">[2]</xref>.</p></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].

Strong Unique Ergodicity of Random Dynamical Systems on Polish Spaces

Institute of Mathematics, University of Silesia, Bankowa 14, 40-007 Katowice,

Annales Mathematicae Silesianae

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Strong Unique Ergodicity of Random Dynamical Systems on Polish Spaces"}

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...

Strong Unique Ergodicity of Random Dynamical Systems on Polish Spaces

Published Online: Sep 23, 2016

Page range: 129 - 142

Received: May 22, 2015

DOI: https://doi.org/10.1515/amsil-2016-0002

Keywords
random dynamical systems, invariant measures, asymptotic stability

© 2016 Paweł Płonka, published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Strong Unique Ergodicity of Random Dynamical Systems on Polish Spaces

Published Online: Sep 23, 2016

Page range: 129 - 142

Received: May 22, 2015

DOI: https://doi.org/10.1515/amsil-2016-0002

Keywordsrandom dynamical systems, invariant measures, asymptotic stability

© 2016 Paweł Płonka, published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
random dynamical systems, invariant measures, asymptotic stability