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On unordered phases of certain models on a Cayley tree

Насир Набиевич ГаниходжаевRomanovskii Mathematical Institute of the National Academy of Sciences of the Uzbek Republic, Tashkent, UzbekistanU. A. RozikovRomanovskii Mathematical Institute of the National Academy of Sciences of the Uzbek Republic, Tashkent, Uzbekistan
Sbornik Mathematicsjournal1999en
ABI

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We consider the Ising model with several spin values, the Potts model, and the inhomogeneous Ising model. For each model we prove sufficiency conditions for extremality of the unordered phase.

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