HA2-WEAKLY PERIODIC P-ADIC GENERALIZED GIBBS MEASURES FOR THE ISING MODEL WITH AN EXTERNAL FIELD ON THE CAYLEY TREE OF ORDER TWO
In this work, we study HA2-weakly periodic p-adic generalized Gibbs measures for the Ising model
with an external field on the Cayley tree of order two. In the case jAj = 2, we prove that at least
one unbounded measure of this kind exists for the model. Moreover, we demonstrate that for any
odd prime p, a phase transition occurs in the considered model.
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