Concentration of measure and whirly actions of Polish groups

zbMath1213.37011arXiv0903.0191MaRDI QIDQ5748037

Vladimir G. Pestov

Publication date: 14 September 2010

Full work available at URL: https://arxiv.org/abs/0903.0191

zbMATH Keywords

invariant measuresPolish groupsgroups of measure-preserving transformationswhirly actionsLévy groupsgreatest ambitconcentration of measure on high-dimensional structures

Mathematics Subject Classification ID

Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) General groups of measure-preserving transformations and dynamical systems (37A15)

Related Items (7)

Concentration of measure, classification of submeasures, and dynamics of \(L_0\) ⋮ On amenability and groups of measurable maps ⋮ Concentration of invariant means and dynamics of chain stabilizers in continuous geometries ⋮ A Boolean action of \(C(M, U(1))\) without a spatial model and a re-examination of the Cameron-Martin theorem ⋮ Equivariant dissipation in non-Archimedean groups ⋮ A note on the groups of finite type and the Hartman–Mycielski construction ⋮ On a measurable analogue of small topological full groups. II

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