Extensive amenability and an application to interval exchanges

DOI10.1017/etds.2016.32zbMath1387.37030arXiv1503.04977OpenAlexW3104284520MaRDI QIDQ4643237

Mikael de la Salle, Nicolás Matte Bon, Kate Juschenko, Nicolas Monod

Publication date: 24 May 2018

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

Full work available at URL: https://arxiv.org/abs/1503.04977

zbMATH Keywords

amenabilityrandom walkinterval exchange transformation

Mathematics Subject Classification ID

Related Items (18)

Most interval exchanges have no roots ⋮ A commutator lemma for confined subgroups and applications to groups acting on rooted trees ⋮ Liouville property of strongly transitive actions ⋮ Non-elementary amenable subgroups of automata groups ⋮ Asymptotic behaviors of random walks on countable groups ⋮ Palindromic subshifts and simple periodic groups of intermediate growth ⋮ Amenability of Groups and G-Sets ⋮ Solvable groups of interval exchange transformations ⋮ A Tits alternative for topological full groups ⋮ Realizations of groups of piecewise continuous transformations of the circle ⋮ Confined subgroups of Thompson's group \(F\) and its embeddings into wobbling groups ⋮ Subgroup dynamics and $C^\ast$-simplicity of groups of homeomorphisms ⋮ Inverted orbits of exclusion processes, diffuse-extensive-amenability, and (non-?)amenability of the interval exchanges ⋮ Schreier graphs of spinal groups ⋮ Groups of interval exchange transformations ⋮ Skew-amenability of topological groups ⋮ Random walks on the discrete affine group ⋮ Topological Full Groups of Étale Groupoids

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Cantor systems, piecewise translations and simple amenable groups
• Growth of Schreier graphs of automaton groups.
• The Liouville property for groups acting on rooted trees
• On amenability of automata groups.
• Measures invariant under actions of \(F_ 2\)
• Random walks on discrete groups: Boundary and entropy
• Automorphisms of one-rooted trees: growth, circuit structure, and acyclicity.
• Growth of permutational extensions.
• Amenability of linear-activity automaton groups
• Positive speed for high-degree automaton groups
• Invariant means for the wobbling group
• Poisson-Furstenberg boundary and growth of groups
• Subshifts with slow complexity and simple groups with the Liouville property
• Ergodic theory of interval exchange maps
• Extensions of amenable groups by recurrent groupoids
• Free groups of interval exchange transformations are rare
• Probability on Trees and Networks
• On the topological full group of a minimal Cantor 𝐙²-system
• Speed Exponents of Random Walks on Groups
• Random Walks on Infinite Graphs and Groups
• Groups of piecewise projective homeomorphisms
• APPROXIMATIONS IN ERGODIC THEORY
• Interval exchange transformations

This page was built for publication: Extensive amenability and an application to interval exchanges