Kolmogorov's Example (A Survey of Actions of Infinite-Dimensional Groups with an Invariant Probability Measure)

DOI10.1137/S0040585X97980439zbMath1055.37006OpenAlexW1973996006MaRDI QIDQ4830861

Anatoly M. Vershik

Publication date: 16 December 2004

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0040585x97980439

zbMATH Keywords

invariant setpermutation grouptransitive actionergodic componentssimplex of invariant measures

Mathematics Subject Classification ID

General groups of measure-preserving transformations (28D15) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) General groups of measure-preserving transformations and dynamical systems (37A15) Nonsingular (and infinite-measure preserving) transformations (37A40)

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A classification of orbits admitting a unique invariant measure ⋮ Cocycles and continuity ⋮ Uncountable graphs and invariant measures on the set of universal countable graphs

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