This article is cited in 3 papers

Nonuniqueness of a Gibbs measure for a model on the Cayley tree

U. A. Rozikov, G. T. Madgoziev

Institute of Mathematics and Information Technologies, Uzbek Academy of Sciences, Tashkent, Uzbekistan

Abstract: We propose a model on the Cayley tree and prove that a uncountable set of $\widehat G$-periodic Gibbs measures exists for this model, in contrast to models studied previously.

Keywords: Cayley tree, configuration, hard-core model, Gibbs measure.

Received: 11.10.2010
Revised: 29.11.2010

DOI: 10.4213/tmf6642

 English version: Theoretical and Mathematical Physics, 2011, 167:2, 668–679

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