CRITICAL PERCOLATION OF FREE PRODUCT OF GROUPS

DOI10.1142/S0218196708004524zbMath1179.20028arXivmath/0611668MaRDI QIDQ3519802

Iva Kozakova

Publication date: 19 August 2008

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0611668

zbMATH Keywords

Cayley graphscritical percolationfree products of groupscluster sizes

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Generators, relations, and presentations of groups (20F05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Probabilistic methods in group theory (20P05)

Related Items (max. 100)

Arm exponents in high dimensional percolation ⋮ Critical percolation of virtually free groups and other tree-like graphs ⋮ Counting self-avoiding walks on free products of graphs

Cites Work

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• Invariant percolation and harmonic Dirichlet functions
• On non-uniqueness of percolation on nonamenable Cayley graphs
• Multiplicity of phase transitions and mean-field criticality on highly non-amenable graphs.

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