On a generalized p-adic Gibbs measure for Ising model on trees |
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Authors: | O. N. Khakimov |
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Affiliation: | 1. Institute of mathematics, 29, Do’rmon Yo’li str., 100125, Tashkent, Uzbekistan
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Abstract: | In this paper we consider a p-adic Ising model on an arbitraty tree. We show the uniqueness and boundedness of the p-adic Gibbs measure for the model. Moreover, we consider translational invariant and periodic generalized p-adic Gibbs measures for the model on the Cayley tree of order two. |
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