The random cluster model on a general graph and a phase transition characterization of nonamenability

DOI10.1016/S0304-4149(98)00086-6zbMath0963.60095OpenAlexW2074880970MaRDI QIDQ1593607

Johan Jonasson

Publication date: 17 January 2001

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0304-4149(98)00086-6

zbMATH Keywords

phase transitionamenabilitytransactivity

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Phase transitions (general) in equilibrium statistical mechanics (82B26)

Related Items

Explicit isoperimetric constants and phase transitions in the random-cluster model, The Ising model on diluted graphs and strong amenability, Analyticity and mixing properties for random cluster model with \(q >0\) on \(\mathbb Z^{ d }\), The Swendsen–Wang dynamics on trees, Continuity of the Ising phase transition on nonamenable groups, Sampling from Potts on random graphs of unbounded degree via random-cluster dynamics, Unnamed Item, Phase transitions on nonamenable graphs, Percolation of finite clusters and infinite surfaces, Branching processes, and random-cluster measures on trees, On the cluster size distribution for percolation on some general graphs, Random-cluster dynamics on random regular graphs in tree uniqueness, Sampling in Uniqueness from the Potts and Random-Cluster Models on Random Regular Graphs

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