Percolation on nonamenable products at the uniqueness threshold

DOI10.1016/S0246-0203(00)00130-8zbMath0965.60094OpenAlexW2051392604MaRDI QIDQ1577466

Yuval Peres

Publication date: 25 July 2001

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPB_2000__36_3_395_0

zbMATH Keywords

percolationamenabilityquasi-transitive graphs

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items (9)

Approximations of standard equivalence relations and Bernoulli percolation at \(p_u\) ⋮ 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 ⋮ The \(L^2\) boundedness condition in nonamenable percolation ⋮ Supercritical percolation on nonamenable graphs: isoperimetry, analyticity, and exponential decay of the cluster size distribution ⋮ Continuum percolation at and above the uniqueness threshold on homogeneous spaces ⋮ Statistical physics on a product of trees

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