Geodesic
A $p$-adic generalized Gibbs measure for the  Ising model on a Cayley tree
Teoretičeskaâ i matematičeskaâ fizika, Tome 201 (2019) no. 1, pp. 126-136
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We consider a $p$-adic Ising model on the Cayley tree of order $k\ge2$. 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 $k\ge3$ if $p\equiv1\!\pmod4$.
Keywords: $p$-adic number, Ising model, Gibbs measure
Mots-clés : phase transition. 
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M. M. Rahmatullaev; O. N. Khakimov; A. M. Tukhtaboev. A $p$-adic generalized Gibbs measure for the  Ising model on a Cayley tree. Teoretičeskaâ i matematičeskaâ fizika, Tome 201 (2019) no. 1, pp. 126-136. http://geodesic.mathdoc.fr/item/TMF_2019_201_1_a8/

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