Amenability and Phase Transition in the Ising Model

Johan Jonasson () and Jeffrey E. Steif ()
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Johan Jonasson: Chalmers University of Technology

Journal of Theoretical Probability, 1999, vol. 12, issue 2, 549-559

Abstract: Abstract We consider the Ising model with external field h and coupling constant J on an infinite connected graph G with uniformly bounded degree. We prove that if G is nonamenable, then the Ising model exhibits phase transition for some h≠0 and some J

Keywords: Ising model; Cayley graphs; amenability; Markov operators (search for similar items in EconPapers)
Date: 1999
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DOI: 10.1023/A:1021690414168

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