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On p-adic Gibbs measures for Ising model with four competing interactions

2013en
ABI

Abstract

In this paper we consider a p-adic Ising model with four competing interactions (nearest neighbor, second neighbors and triples of neighbors) on the Cayley tree of order two. We show the uniqueness of the p-adic Gibbs measure for the model. Moreover, we consider p-adic quasi Gibbs measure for the model.

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Cited by 90 references