2 papers
math.PR2025
Gibbs measure for mixed spins and mixed types model
Muzaffar Rahmatullaev, Akbarkhuja Tukhtabaev
In the present paper, we study the -Ising-Potts model on the Cayley tree. We have derived a recurrence equation that shows the existence of a splitting Gibbs measure for thi…
math.FA2022
Periodic points of a -adic operator and their -adic Gibbs measures
U. A. Rozikov, I. A. Sattarov, A. M. Tukhtabaev
In this paper we investigate generalized Gibbs measure (GGM) for -adic Hard-Core(HC) model with a countable set of spin values on a Cayley tree of order . This model is…