Dynamical simplices and minimal homeomorphisms

DOI10.1090/proc/13578zbMath1373.54046arXiv1511.09280OpenAlexW2964201719MaRDI QIDQ5354491

Julien Melleray, Tomás Ibarlucía

Publication date: 4 September 2017

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.09280

zbMATH Keywords

invariant measureminimal homeomorphismCantor spaceKakutani-Rokhlin partitions

Mathematics Subject Classification ID

Related Items (5)

Generic properties of homeomorphisms preserving a given dynamical simplex ⋮ Dynamical simplices and Borel complexity of orbit equivalence ⋮ From invariant measures to orbit equivalence, via locally finite groups ⋮ A context in which finite or unique ergodicity is generic ⋮ Dynamical simplices and Fraïssé theory

Cites Work

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• On a dimension for a class of homeomorphism groups
• The Choquet simplex of invariant measures for minimal flows
• Full groups of Cantor minimal systems
• Topologies on the group of homeomorphisms of a Cantor set
• Good measures on Cantor space
• ORDERED BRATTELI DIAGRAMS, DIMENSION GROUPS AND TOPOLOGICAL DYNAMICS
• WEAK ORBIT EQUIVALENCE OF CANTOR MINIMAL SYSTEMS
• Full groups, flip conjugacy, and orbit equivalence of Cantor minimal systems

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