A p-Adic Generalized Gibbs Measure for the Ising Model on a Cayley Tree
M. M. RahmatullaevInstitute of Mathematics, Tashkent, UzbekistanO. N. KhakimovA. M. TukhtaboevNamangan Construction Institute, Namangan, Uzbekistan
ABI
Аннотация
We consider a p-adic Ising model on the Cayley tree of order k ≥ 2. We completely describe all p-adic-translation-invariant generalized Gibbs measures for k = 3. Moreover, we show the existence of a phase transition for the p-adic Ising model for any k ≥ 3 if p ≡ 1 (mod 4).
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