Ergodic decompositions associated with regular Markov operators on Polish spaces

DOI10.1017/S0143385710000039zbMath1223.37009MaRDI QIDQ3002603

Daniël T. H. Worm, Sander Cornelis Hille

Publication date: 20 May 2011

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

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Markov renewal processes, semi-Markov processes (60K15) Ergodic theorems, spectral theory, Markov operators (37A30) Dynamical systems and their relations with probability theory and stochastic processes (37A50)

Related Items (8)

The ergodic decomposition defined by actions of amenable groups, part II: more about the role played by the ergodic invariant probability measures in the decomposition ⋮ Mean ergodic theorems on norming dual pairs ⋮ On Stochastic Stability of a Class of non-Markovian Processes and Applications in Quantization ⋮ Ergodicity and asymptotic stability of Feller semigroups on Polish metric spaces ⋮ An ergodic decomposition defined by regular jointly measurable Markov semigroups on Polish spaces ⋮ Irreducible decomposition for Markov processes ⋮ Ergodicity and stability of a dynamical system perturbed by impulsive random interventions ⋮ The ergodic decomposition defined by actions of amenable groups

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