Some criteria for the existence of invariant measures and asymptotic stability for random dynamical systems on polish spaces

DOI10.1080/07362994.2018.1428106zbMath1388.37009OpenAlexW2793553551MaRDI QIDQ4639182

Paweł Płonka

Publication date: 3 May 2018

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/07362994.2018.1428106

zbMATH Keywords

asymptotic stabilityinvariant measurerandom dynamical system

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Random operators and equations (aspects of stochastic analysis) (60H25) Ergodic theorems, spectral theory, Markov operators (37A30) Generation, random and stochastic difference and differential equations (37H10) Random linear operators (47B80)

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Cites Work

• Attractors for random dynamical systems
• Invariant measures for nonexpansive Markov operators on Polish spaces
• The stability of Markov operators on Polish spaces
• Real Analysis and Probability
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