Many-valued measure-preserving mappings (polymorphisms) and Markovian operators

DOI10.1007/BF01682800zbMath0517.28016OpenAlexW1978791541MaRDI QIDQ1053137

Anatoly M. Vershik

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1007/bf01682800

zbMATH Keywords

Markov processpolymorphismergodic theoremsMarkov operatorsconditional measuresdoubly stochastic measurescategory of Lebesgue spacesconvex semigroup with involution

Mathematics Subject Classification ID

Discrete-time Markov processes on general state spaces (60J05) Measure-preserving transformations (28D05) Ergodic theory of linear operators (47A35) Groups and semigroups of linear operators (47D03) Dilations, extensions, compressions of linear operators (47A20)

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Cites Work

• Subadditive ergodic theory
• Examples of mixing sequences
• Theory of dynamical systems and general transformation groups with invariant measure
• MARKOV REPRESENTATIONS OF STOCHASTIC SYSTEMS
• Limit Measures Arising in the Asympyotic Theory of Symmetric Groups. I.
• Two Subspaces
• Some remarks on the infinite-dimensional problems of linear programming
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