Percolation on nonunimodular transitive graphs

DOI10.1214/009117906000000494zbMath1114.60083arXivmath/0702875OpenAlexW3105496190MaRDI QIDQ874739

Ádám Timár

Publication date: 10 April 2007

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0702875

zbMATH Keywords

percolationcritical percolationheavy clusterslight clustersnonunimodular

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Combinatorial probability (60C05) Percolation (82B43) Probability theory on algebraic and topological structures (60B99)

Related Items (10)

Critical percolation on any quasi-transitive graph of exponential growth has no infinite clusters ⋮ Heavy Bernoulli-percolation clusters are indistinguishable ⋮ Nonuniqueness and mean-field criticality for percolation on nonunimodular transitive graphs ⋮ Percolation beyond \(\mathbb Z^{d}\): the contributions of Oded Schramm ⋮ Percolation on hyperbolic graphs ⋮ Self-avoiding walk on nonunimodular transitive graphs ⋮ Sparse graphs: Metrics and random models ⋮ Counterexamples for percolation on unimodular random graphs ⋮ Weights of uniform spanning forests on nonunimodular transitive graphs ⋮ Locality of the critical probability for transitive graphs of exponential growth

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