On quasi-compact Markov nets

DOI10.1017/S0143385710000350zbMath1234.37005OpenAlexW2103822780MaRDI QIDQ3018654

Wojciech Bartoszek, Nazife Erkurşun Özcan

Publication date: 27 July 2011

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

Full work available at URL: https://doi.org/10.1017/s0143385710000350

zbMATH Keywords

Markov operatorLotz-Räbige netquasi-compact Markov net

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Ergodic theorems, spectral theory, Markov operators (37A30)

Related Items

Asymptotic behavior of operator sequences on KB-spaces ⋮ Asymptotically absorbing nets of positive operators ⋮ Uniform ergodicities of Markov semigroups on abstract states spaces ⋮ A note on a Wiener-Wintner theorem for mean ergodic Markov amenable semigroups ⋮ Uniform ergodicity of Lotz-Räbiger nets of Markov operators on abstract state spaces ⋮ Quasi-compactness and Uniform Convergence of Markov Operator Nets on KB-spaces ⋮ Lotz-Räbiger's nets of Markov operators in \(L^1\)-spaces

Cites Work

• Quasi-compactness and uniform ergodicity of positive operators
• Stability and ergodicity of dominated semigroups. II: The strong case
• Constricted systems
• Geometric theory of a single Markov operator
• Operator-theoretical treatment of Markoff's process and mean ergodic theorem
• Strict Ergodicity and Transformation of the Torus
• Minimal sets and Ergodic measures in 𝛽𝑁-𝑁
• Ergodic sets