Amenability of Groups and G-Sets
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Publication:4613555
DOI10.1007/978-3-319-69152-7_11zbMath1490.43001arXiv1705.04091OpenAlexW2612269455MaRDI QIDQ4613555
Publication date: 24 January 2019
Published in: Trends in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.04091
Extensions, wreath products, and other compositions of groups (20E22) Means on groups, semigroups, etc.; amenable groups (43A07) Research exposition (monographs, survey articles) pertaining to group theory (20-02)
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Cites Work
- Thompson's Group F is Not Liouville
- Combinatorics on Bratteli diagrams and dynamical systems
- Note on the Transfinite Case of Hall's Theorem on Representatives
- Means and Følner condition on locally compact groups
- Endomorphisms and automorphisms of the shift dynamical system
- "Problems in the Theory of Rings" Revisited
- Cohomology in Banach algebras
- The Degree of Polynomial Growth of Finitely Generated Nilpotent Groups
- Inductive Limits of Finite Dimensional C ∗ -Algebras
- The Tychonoff product theorem implies the axiom of choice
- Interval exchange transformations
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- Unnamed Item
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- Unnamed Item
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- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
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- A nonamenable finitely presented group of piecewise projective homeomorphisms
- Characterisations of algebraic properties of groups in terms of harmonic functions
- Cantor systems, piecewise translations and simple amenable groups
- Coarse geometry and randomness. École d'Été de Probabilités de Saint-Flour XLI -- 2011
- Folner sets of alternate directed groups
- The Liouville property and Hilbertian compression
- On amenability of automata groups.
- Amenable semigroups
- Factorization in group algebras
- Probability measures on groups and some related ideals in group algebras
- Amenability via random walks.
- Gardens of Eden and amenability on cellular automata
- Amenable groups that act on the line.
- Entropy and isoperimetry for linear and non-linear group actions.
- Uniqueness and non-uniqueness in percolation theory
- On amenability of group algebras. I.
- Entropy and isomorphism theorems for actions of amenable groups
- Random walks on discrete groups: Boundary and entropy
- Elementary amenable groups
- Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
- Cogrowth and amenability of discrete groups
- Proximal flows
- Classification of injective factors. Cases \(\mathrm{II}_1\), \(\mathrm{II}_\infty\), \(\mathrm{III}_\lambda\), \(\lambda\neq 1\)
- Isoperimetricity for groups and manifolds
- Amenable groups and cellular automata
- Endomorphisms of symbolic algebraic varieties
- Lower bound for the norm of a vertex-transitive graph
- Introductory notes on Richard Thompson's groups
- The growth of linear groups
- Percolation beyond \(\mathbb{Z}^ d\), many questions and a few answers
- Einige Sätze über messbare Abbildungen
- Counting paths in graphs
- Transversal theory. An account of some aspects of combinatorial mathematics
- Trees and ultrametric spaces: A categorical equivalence
- Amenability, bi-Lipschitz equivalence, and the von Neumann conjecture
- Topological invariants of dynamical systems and spaces of holomorphic maps. I.
- Amenability criteria and critical probabilities in percolation
- Extensions of amenable groups by recurrent groupoids
- Connection of the dual space of a group with the structure of its closed subgroups
- Growth of finitely generated solvable groups
- A Poisson formula for semi-simple Lie groups
- Amenable actions of locally compact groups
- Free subgroups in linear groups
- Burnside's problem, spanning trees and tilings.
- Postulates for the barycentric calculus
- Almost periodic points with respect to transformation semi-groups
- On the topological full group of a minimal Cantor 𝐙²-system
- On groups with full Banach mean value
- On Groups of Measure Preserving Transformations. I
- Semi-Prime Rings with Maximum Condition
- Symmetric Random Walks on Groups
- Amenable actions, free products and a fixed point property
- On the work of V. A. Rokhlin in ergodic theory
- Finite entropy for multidimensional cellular automata
- Embeddings of Discrete Groups and the Speed of Random Walks
- The Quest for Quotient Rings (Of Noncommutative Noetherian Rings)
- A new proof of Gromov’s theorem on groups of polynomial growth
- The Spectral Radius of infinite Graphs
- An amenable equivalence relation is generated by a single transformation
- A NOTE ON SUBGROUPS OF SL(2, C)
- Random Walks on Infinite Graphs and Groups - a Survey on Selected topics
- Amenability, hyperfiniteness, and isoperimetric inequalities
- Amenability and paradoxical decompositions for pseudogroups and for discrete metric spaces
- Simple groups of dynamical origin
- Extensive amenability and an application to interval exchanges
- ORDERED BRATTELI DIAGRAMS, DIMENSION GROUPS AND TOPOLOGICAL DYNAMICS
- A Short Proof of the Grigorchuk-Cohen Cogrowth Theorem
- Weakly amenable groups
- Random Walks on Infinite Graphs and Groups
- Groups of piecewise projective homeomorphisms
- On Groups, Slow Heat Kernel Decay Yields Liouville Property and Sharp Entropy Bounds
- An upper bound for the Tarski numbers of nonamenable groups of piecewise projective homeomorphisms
- Hindman's Theorem, Ellis's Lemma, and Thompson's group $F$
- Garden of Eden Configurations for Cellular Automata on Cayley Graphs of Groups
- Shorter Note: The Converse of Moore's Garden-of-Eden Theorem
- A Numerical Lower Bound for the Spectral Radius of Random Walks on Surface Groups