Amenability and unique ergodicity of automorphism groups of countable homogeneous directed graphs

DOI10.1017/etds.2018.84zbMath1440.43002arXiv1712.09461OpenAlexW2963078798MaRDI QIDQ5107677

Micheal Pawliuk, Miodrag Sokić

Publication date: 28 April 2020

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.09461

zbMATH Keywords

topological dynamicstournamentsamenabilityinfinite dimensional dynamicsdirected graphs (digraphs)

Mathematics Subject Classification ID

Generalized Ramsey theory (05C55) Directed graphs (digraphs), tournaments (05C20) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items (6)

Unique ergodicity of the automorphism group of the semigeneric directed graph ⋮ Ramsey properties and extending partial automorphisms forhbox classes of finite structures ⋮ The Hrushovski property for hypertournaments and profinite topologies ⋮ Invariant measures on products and on the space of linear orders ⋮ Fixed points in compactifications and combinatorial counterparts ⋮ Unnamed Item

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