1999/08/31 by Russell Lyons
Mathematics · Physics and Astronomy · #Graph #Graph theory #Phase space #Phase transition #Space (punctuation) #Statistical Mechanics and Entropy #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Transitive relation #math-ph #math.MP #math.PR #msc:82B26
paper · pdf · doi:10.1063/1.533179
published as J.Math.Phys. 41 (2000) 1099-1126
openalex publication_date 2000/03/01 · arxiv created 2000/06/16 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We survey known results about phase transitions in various models of statistical physics when the underlying space is a nonamenable graph. Most attention is devoted to transitive graphs and trees.