Quasi-compactness and mean ergodicity for Markov kernels acting on weighted supremum normed spaces

DOI10.1214/07-AIHP145zbMath1186.37014OpenAlexW2084891330MaRDI QIDQ731719

Loïc Hervé

Publication date: 8 October 2009

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/78004

zbMATH Keywords

Markov kernelquasi-compactnessmean ergodicitygeometrical ergodicitysupremum normed spaces

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Ergodic theorems, spectral theory, Markov operators (37A30)

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Robustness of iterated function systems of Lipschitz maps ⋮ Quasi-compactness of linear operators on Banach spaces: New properties and application to Markov chains

Cites Work

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• Quasi-compactness and absolutely continuous kernels
• On ergodicity and recurrence properties of a Markov chain by an application to an open jackson network
• Transition probabilities and contractions ofL ?

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