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Existence of an Invariant Measure and an Ornstein's Ergodic Theorem

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Publication:5616548
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DOI10.1214/aoms/1177697806zbMath0214.17102OpenAlexW1986246239MaRDI QIDQ5616548

Michel Métivier

Publication date: 1969

Published in: The Annals of Mathematical Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aoms/1177697806



Mathematics Subject Classification ID

Transition functions, generators and resolvents (60J35) Limit theorems in probability theory (60F99) Measure-theoretic ergodic theory (28D99)


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Unnamed Item ⋮ Unnamed Item ⋮ [https://portal.mardi4nfdi.de/wiki/Publication:5603660 Cha�nes abstraites de Markov v�rifiant une condition de Orey. Extension � ce cas d'un th�or�me ergodique de M. M�tivier] ⋮ Opérateurs potentiels des chaînes et des processus de Markov irréductibles ⋮ Unnamed Item ⋮ Transition probabilities and contractions ofL ? ⋮ Harris operators ⋮ Theory of dynamical systems and general transformation groups with invariant measure ⋮ Holomorphic germs on Banach spaces ⋮ Mixed ratio limit theorems for Markov processes ⋮ Potentiel markovien récurrent des chaînes de Harris. (Recurrent Markov potential of Harris chains)




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