Small spectral radius and percolation constants on non-amenable Cayley graphs

DOI10.1090/S0002-9939-2014-12578-0zbMath1367.20047arXiv1206.2183OpenAlexW1993851882MaRDI QIDQ5179314

Kate Juschenko, Tatiana Nagnibeda

Publication date: 19 March 2015

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

Full work available at URL: https://arxiv.org/abs/1206.2183

zbMATH Keywords

Cayley graphspectral radiusisoperimetric constantBernoulli percolationnon-amenable group

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items (2)

Amenability of groupoids and asymptotic invariance of convolution powers ⋮ Invariant means and the structure of inner amenable groups

Cites Work

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• A Remark About the Spectral Radius

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