Invariant measures for random dynamical systems

DOI10.4064/DM451-0-1zbMath1157.37003OpenAlexW2046914086MaRDI QIDQ5440226

Katarzyna Horbacz

Publication date: 1 February 2008

Published in: Dissertationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/dm451-0-1

zbMATH Keywords

stabilitydynamical systemsMarkov operatorspoint-wise and concentration dimension

Mathematics Subject Classification ID

Discrete-time Markov processes on general state spaces (60J05) Ergodic theory of linear operators (47A35) Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Ergodic theorems, spectral theory, Markov operators (37A30) Dynamical systems and their relations with probability theory and stochastic processes (37A50)

Related Items (10)

Law of large numbers for random dynamical systems ⋮ Random dynamical systems with jumps and with a function-type intensity ⋮ Strong law of large numbers for continuous random dynamical systems ⋮ Dimension of invariant measures for continuous random dynamical systems ⋮ The central limit theorem for random dynamical systems ⋮ The Hausdorff dimension of invariant measures for random dynamical systems ⋮ Exponential ergodicity of some Markov dynamical systems with application to a Poisson-driven stochastic differential equation ⋮ Equicontinuity and Stability Properties of Markov Chains Arising from Iterated Function Systems on Polish Spaces ⋮ Continuous random dynamical systems ⋮ Ergodic properties of some piecewise-deterministic Markov process with application to gene expression modelling

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