Ergodic measures of Markov semigroups with the e-property

DOI10.1017/S0143385711000022zbMath1261.37007MaRDI QIDQ2908174

Tomasz Szarek, Daniël T. H. Worm

Publication date: 4 September 2012

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

Markov semigroupergodic measureCesáro averagese-property

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Spaces of measures, convergence of measures (28A33) Representation of semigroups; actions of semigroups on sets (20M30)

Related Items (12)

A criterion on asymptotic stability for partially equicontinuous Markov operators ⋮ Equivalence of equicontinuity concepts for Markov operators derived from a Schur-like property for spaces of measures ⋮ Ergodicity and Local Limits for Stochastic Local and Nonlocal $p$-Laplace Equations ⋮ Mean ergodic theorems on norming dual pairs ⋮ Equicontinuous families of Markov operators in view of asymptotic stability ⋮ Structured population models on Polish spaces: A unified approach including graphs, Riemannian manifolds and measure spaces to describe dynamics of heterogeneous populations ⋮ Relation between the eventual continuity and the e-property for Markov-Feller semigroups ⋮ The e-property of asymptotically stable Markov semigroups ⋮ Minimal invariant closed sets of set-valued semiflows ⋮ Equicontinuity and Stability Properties of Markov Chains Arising from Iterated Function Systems on Polish Spaces ⋮ Persistence of stability for equilibria of map iterations in Banach spaces under small random perturbations ⋮ The e-property of asymptotically stable Markov–Feller operators

Cites Work

• Embedding of semigroups of Lipschitz maps into positive linear semigroups on ordered Banach spaces generated by measures
• Lower bound technique in the theory of a stochastic differential equation
• On ergodicity of some Markov processes
• Ergodic theory of infinite dimensional systems with applications to dissipative parabolic PDEs
• Ergodicity of the 2D Navier-Stokes equations with degenerate stochastic forcing
• Continuity properties of Markov semigroups and their restrictions to invariant \(L^{1}\)-spaces
• On stability of velocity vectors for some passive tracer models
• Ergodicity for Infinite Dimensional Systems
• Ergodic properties and ergodic decompositions of continuous-time Markov processes

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