This article is cited in 8 papers

On unordered phases of certain models on a Cayley tree

N. N. Ganikhodzhaev, U. A. Rozikov

Romanovskii Mathematical Institute of the National Academy of Sciences of Uzbekistan

Abstract: We consider the Ising model with several spin values, the Potts model, and the inhomogeneous Ising model. For each model we prove sufficiency conditions for extremality of the unordered phase.

UDC: 517.2+530.1

MSC: 82B20

Received: 16.03.1998

DOI: 10.4213/sm382

 English version: Sbornik: Mathematics, 1999, 190:2, 193–203

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