Poisson-Furstenberg boundary and growth of groups
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Publication:2359744
DOI10.1007/s00440-016-0712-6zbMath1417.60004arXiv1107.5499OpenAlexW3104782582MaRDI QIDQ2359744
Laurent Bartholdi, A. G. Erschler
Publication date: 22 June 2017
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1107.5499
Geometric group theory (20F65) Asymptotic properties of groups (20F69) Means on groups, semigroups, etc.; amenable groups (43A07) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)
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Cites Work
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- On amenability of automata groups.
- Homomorphisms to \(\mathbb R\) constructed from random walks
- Amenability via random walks.
- Linear drift and Poisson boundary for random walks
- Random walks on discrete groups: Boundary and entropy
- On multiple circuit chains with a countable infinity of states
- Elementary amenable groups
- Ergodic and mixing random walks on locally compact groups
- Every graph with a positive Cheeger constant contains a tree with a positive Cheeger constant
- On drift and entropy growth for random walks on groups
- Liouville property for groups and manifolds
- Growth of permutational extensions.
- Critical constants for recurrence of random walks on \(G\)-spaces.
- Behaviors of entropy on finitely generated groups
- Carne-Varopoulos bounds for centered random walks
- "MÜNCHHAUSEN TRICK" AND AMENABILITY OF SELF-SIMILAR GROUPS
- Acceleration of Lamplighter Random Walks
- DEGREES OF GROWTH OF FINITELY GENERATED GROUPS, AND THE THEORY OF INVARIANT MEANS
- Speed Exponents of Random Walks on Groups
- Random Walks on Infinite Graphs and Groups
- LECTURES ON THE ENTROPY THEORY OF MEASURE-PRESERVING TRANSFORMATIONS
- Characteristics of random walks on wreath products of groups
