This article is cited in 33 papers

Construction of an uncountable number of limiting Gibbs measures in the inhomogeneous Ising model

U. A. Rozikov

Romanovskii Mathematical Institute of the National Academy of Sciences of Uzbekistan

Abstract: We prove the existence of an uncountable number of limiting Gibbs measures in the inhomogeneous Ising model on a Cayley tree and describe them constructively.

Received: 11.03.1998
Revised: 04.06.1998

DOI: 10.4213/tmf688

 English version: Theoretical and Mathematical Physics, 1999, 118:1, 77–84

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