Harris operators

DOI10.1007/BF02762166zbMath0434.60012OpenAlexW4249873136MaRDI QIDQ1139859

Shaul R. Foguel

Publication date: 1979

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02762166

zbMATH Keywords

invariant measureMarkov operatorsHarris operatorsOrnstein-Metivier-Brunel theorem

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Markov semigroups and applications to diffusion processes (47D07) Transition functions, generators and resolvents (60J35) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

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Cites Work

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• Period of an irreducible positive operator
• On \(\sigma\)-finite invariant measures for Markov processes
• Potentiel markovien récurrent des chaînes de Harris. (Recurrent Markov potential of Harris chains)
• Operator-theoretical treatment of Markoff's process and mean ergodic theorem
• More on the "Zero-Two" Law
• An Operator Theorem on $L_1$ Convergence to Zero with Applications to Markov Kernels
• Markov chains recurrent in the sense of Harris
• Random walks. I
• Integral Kernels and Invariant Measures for Markoff Transition Functions
• [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]
• Existence of an Invariant Measure and an Ornstein's Ergodic Theorem
• Éléments d'une théorie générale des chaînes simples constantes de Markoff
• Invariant measures

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