What does a generic Markov operator look like?

DOI10.1090/S1061-0022-06-00928-9zbMath1173.47306arXivmath/0510320OpenAlexW1545217461MaRDI QIDQ5485839

Anatoly M. Vershik

Publication date: 4 September 2006

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0510320

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Ergodicity, mixing, rates of mixing (37A25) Ergodic theorems, spectral theory, Markov operators (37A30) Linear operators on function spaces (general) (47B38)

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Cites Work

• \(T,T^{-1}\) transformation is not loosely Bernoulli
• Polymorphisms, Markov processes, and quasi-similarity
• Dynamic theory of growth in groups: Entropy, boundaries, examples
• Lectures on Choquet's theorem
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