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Unique ergodicity of the automorphism group of the semigeneric directed graph

Part of: Abstract harmonic analysis Model theory Topological dynamics Noncompact transformation groups

Published online by Cambridge University Press:  28 June 2021

COLIN JAHEL
COLIN JAHEL*
Affiliation:
Institut de Mathématiques de Jussieu-Paris Rive Gauche, Université Paris Diderot, Paris, France
*
e-mail: colin.jahel@imj-prg.fr
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Abstract

We prove that the automorphism group of the semigeneric directed graph (in the sense of Cherlin’s classification) is uniquely ergodic.

Keywords

unique ergodicityergodic decompositionsemigeneric directed graph

MSC classification

Primary: 37B05: Transformations and group actions with special properties (minimality, distality, proximality, etc.)
Secondary: 22F50: Groups as automorphisms of other structures 03C15: Denumerable structures 43A07: Means on groups, semigroups, etc.; amenable groups

Information

Type
Original Article
Information
Ergodic Theory and Dynamical Systems , Volume 42 , Issue 8 , August 2022 , pp. 2561 - 2574
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

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