Ising models on hyperbolic graphs

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25 Scopus citations


We consider Ising models on a hyperbolic graph which, loosely speaking, is a discretization of the hyperbolic plane H2 in the same sense as Zd is a discretization of Rd. We prove that the models exhibit multiple phase transitions. Analogous results for Potts models can be obtained in the same way.

Original languageEnglish (US)
Pages (from-to)251-259
Number of pages9
JournalJournal of Statistical Physics
Issue number1-2
StatePublished - Oct 1996

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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