Faces of simplexes of invariant measures

DOI10.1007/s11856-008-1009-yzbMath1222.37010OpenAlexW2048549635MaRDI QIDQ940768

Tomasz Downarowicz

Publication date: 3 September 2008

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

Full work available at URL: https://doi.org/10.1007/s11856-008-1009-y

zbMATH Keywords

Choquet simplexminimal dynamical system

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Related Items (9)

Dynamics in dimension zero A survey ⋮ Universal systems for entropy intervals ⋮ Faces of simplices of invariant measures for actions of amenable groups ⋮ Rank as a function of measure ⋮ Non-existence of a universal zero-entropy system ⋮ Invariant measures for Cantor dynamical systems ⋮ Zero-dimensional isomorphic dynamical models ⋮ Pure strictly uniform models of non-ergodic measure automorphisms ⋮ Exact number of ergodic invariant measures for Bratteli diagrams

Cites Work

• Strictly ergodic models for non-invertible transformations
• The Choquet simplex of invariant measures for minimal flows
• Mean dimension, small entropy factors and an embedding theorem
• Topological realizations of families of ergodic automorphisms, multitowers and orbit equivalence
• Minimal models for noninvertible and not uniquely ergodic systems
• Fiber entropy and conditional variational principles in compact non-metrizable spaces
• Lectures on Choquet's theorem
• Unnamed Item

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