Stability of random dynamical systems on Banach spaces

DOI10.1007/s11117-005-0005-2zbMath1121.37037OpenAlexW2107160733MaRDI QIDQ850602

Tomasz Szarek, Katarzyna Horbacz, Józef Myjak

Publication date: 3 November 2006

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-005-0005-2

zbMATH Keywords

stabilityinvariant measuresMarkov operators

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Markov semigroups and applications to diffusion processes (47D07) Random measures (60G57) Transition functions, generators and resolvents (60J35) Stability theory for smooth dynamical systems (37C75) Random dynamical systems (37H99)

Related Items (4)

Modified stochastic theta methods by ODEs solvers for stochastic differential equations ⋮ Exponential ergodicity of some Markov dynamical systems with application to a Poisson-driven stochastic differential equation ⋮ Pointwise and Renyi dimensions of an invariant measure of random dynamical systems with jumps ⋮ Ergodic properties of some piecewise-deterministic Markov process with application to gene expression modelling

Cites Work

• Markov chains and stochastic stability
• Markov semigroups generated by a Poisson driven differential equation
• Invariant measures related with Poisson driven stochastic differential equation.
• RANDOMLY CONNECTED DYNAMICAL SYSTEMS ON BANACH SPACES
• Randomly connected dynamical systems - asymptotic stability
• Invariant measures for Markov operators with application to function systems
• Dynamical systems with multiplicative perturbations: the strong convergence of measures
• Convergence de la répartition empirique vers la répartition théorique
• Stochastic Equations in Infinite Dimensions
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