Random orderings and unique ergodicity of automorphism groups

DOI10.4171/JEMS/483zbMath1304.22027arXiv1208.2389MaRDI QIDQ479519

Omer Angel, Alexander S. Kechris, Russell Lyons

Publication date: 5 December 2014

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.2389

zbMATH Keywords

metric spacesgraphsminimal flowrandom graph

Mathematics Subject Classification ID

General groups of measure-preserving transformations (28D15) Applications of model theory (03C98) Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) (05C60) Groups as automorphisms of other structures (22F50)

Related Items (22)

Simplicity of the automorphism groups of order and tournament expansions of homogeneous structures ⋮ Unnamed Item ⋮ A classification of orbits admitting a unique invariant measure ⋮ Unique ergodicity of the automorphism group of the semigeneric directed graph ⋮ Universal minimal flows of homeomorphism groups of high-dimensional manifolds are not metrizable ⋮ An ω-categorical structure with amenable automorphism group ⋮ Maximal pronilfactors and a topological Wiener-Wintner theorem ⋮ Statistics of orderings ⋮ Amenability and unique ergodicity of automorphism groups of countable homogeneous directed graphs ⋮ Topological dynamics of kaleidoscopic groups ⋮ A direct solution to the Generic Point Problem ⋮ Ramsey properties and extending partial automorphisms forhbox classes of finite structures ⋮ Metrizable universal minimal flows of Polish groups have a comeagre orbit ⋮ Ordering property for unary functions ⋮ Topological dynamics of automorphism groups, ultrafilter combinatorics, and the Generic Point Problem ⋮ Distance structures for generalized metric spaces ⋮ Minimal model-universal flows for locally compact Polish groups ⋮ Topological dynamics of unordered Ramsey structures ⋮ Invariant measures on products and on the space of linear orders ⋮ Maximally highly proximal flows ⋮ Fixed points in compactifications and combinatorial counterparts ⋮ Strictly ergodic distal models and a new approach to the Host-Kra factors

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