Liouville property of strongly transitive actions

DOI10.1090/proc/16006arXiv1806.02753OpenAlexW4210912014MaRDI QIDQ6106073

Kate Juschenko

Publication date: 27 June 2023

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.02753

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Cites Work

• Cantor systems, piecewise translations and simple amenable groups
• Random walks on discrete groups: Boundary and entropy
• The Chameleon groups of Richard J. Thompson: Automorphisms and dynamics
• Infinitely supported Liouville measures of Schreier graphs
• Extensions of amenable groups by recurrent groupoids
• Extensive amenability and an application to interval exchanges
• Amenability of Discrete Groups by Examples
• Thompson's Group F is Not Liouville

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