Strong Unique Ergodicity of Random Dynamical Systems on Polish Spaces

• Autorzy: Paweł Płonka
• Języki publikacji: EN

Abstrakty

EN

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].

Słowa kluczowe

EN

random dynamical systems; invariant measures; asymptotic stability

Kategorie tematyczne

• 37H99: None of the above, but in this section
• 47B80: Random operators
• 37B25: Lyapunov functions and stability; attractors, repellers
• 60H25: Random operators and equations

• Wydawca: De Gruyter Open
• Czasopismo: Annales Mathematicae Silesianae
• Rocznik: 2016
• Tom: 30
• Numer: 1
• Strony: 129-142

Daty

wydano

2016-09-01

otrzymano

2015-05-22

poprawiono

2016-02-29

online

2016-09-23

Twórcy

autor

Paweł Płonka

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

Identyfikatory

DOI

10.1515/amsil-2016-0002