Ising models on the Lobachevsky plane

C. M. Series, Ya G. Sinai

Research output: Contribution to journalArticlepeer-review

24 Scopus citations


We consider the Ising model on a lattice which is the orbit of a discrete cocompact group acting on the hyperbolic plane. For large values of the inverse temperature we construct an uncountable number of mutually singular Gibbs states.

Original languageEnglish (US)
Pages (from-to)63-76
Number of pages14
JournalCommunications In Mathematical Physics
Issue number1
StatePublished - Mar 1990

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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