Fertile HC models with three states on a cayley tree |
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| Authors: | U A Rozikov Sh A Shoyusupov |
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| Institution: | (1) Institute for Mathematics and Information Technologies, Academy of Sciences of the Republic of Uzbekistan, Tashkent, Uzbekistan;(2) School of Mathematical Sciences, GC University, Lahore, Pakistan |
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| Abstract: | We consider fertile hard-core (HC) models with three states on a homogeneous Cayley tree. It is known that four types of such
models exist. For these models, we describe the translation-invariant and periodic HC Gibbs measures. We also construct a
uncountable set of nonperiodic Gibbs measures.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 156, No. 3, pp. 412–424, September, 2008. |
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| Keywords: | Cayley tree configuration HC model Gibbs measure |
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