Infinitely supported Liouville measures of Schreier graphs

DOI10.4171/GGD/464zbMath1409.60020arXiv1608.03554OpenAlexW2964249650MaRDI QIDQ1784008

Kate Juschenko, Tianyi Zheng

Publication date: 21 September 2018

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.03554

zbMATH Keywords

amenabilityLiouville propertyThompson group \(F\)Schreier graph

Mathematics Subject Classification ID

Geometric group theory (20F65) Means on groups, semigroups, etc.; amenable groups (43A07) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (8)

Amenability of groupoids and asymptotic invariance of convolution powers ⋮ Convergence towards the end space for random walks on Schreier graphs ⋮ Liouville property of strongly transitive actions ⋮ The Liouville property and random walks on topological groups ⋮ Confined subgroups of Thompson's group \(F\) and its embeddings into wobbling groups ⋮ Schreier graphs of spinal groups ⋮ Non-triviality of the Poisson boundary of random walks on the group of Monod ⋮ Random walks on the discrete affine group

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