The ergodic decomposition defined by actions of amenable groups

DOI10.4064/cm7775-8-2019zbMath1478.37006OpenAlexW3123721265WikidataQ114022013 ScholiaQ114022013MaRDI QIDQ4997565

Radu Zaharopol

Publication date: 29 June 2021

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm7775-8-2019

zbMATH Keywords

invariant measureergodic decompositionergodic measureleft Haar measureleft actionamenable locally compact separable metric grouptempered Følner sequence

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Ergodic theory of linear operators (47A35) General groups of measure-preserving transformations (28D15) Measures on groups and semigroups, etc. (43A05) Ergodic theorems, spectral theory, Markov operators (37A30) General groups of measure-preserving transformations and dynamical systems (37A15) Measurable group actions (22F10) Relations between ergodic theory and harmonic analysis (37A46)

Related Items (1)

The ergodic decomposition defined by actions of amenable groups, part II: more about the role played by the ergodic invariant probability measures in the decomposition

Cites Work

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• An ergodic decomposition defined by regular jointly measurable Markov semigroups on Polish spaces
• An ergodic decomposition defined by transition probabilities
• Pointwise theorems for amenable groups.
• La théorie générale de la mesure dans son application à l'étude des systèmes dynamiques de la mécanique non linéaire
• Ergodic decompositions associated with regular Markov operators on Polish spaces
• Ergodic decomposition for measures quasi-invariant under a Borel action of an inductively compact group
• Ergodic decomposition of quasi-invariant probability measures
• Geometric Group Theory
• Invariant Probabilities of Transition Functions
• Groups of Automorphisms of Borel Spaces
• The Markoff process with a stable distribution
• A general ergodic theorem
• Lectures on Choquet's theorem

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