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math-ph2025
p-adic dynamical systems for -adic -models on the Cayley trees
Farrukh Mukhamedov, Otabek Khakimov
We review and propose to use of associated dynamical system to explore the phase transition phenomena in -adic statistical mechanics setting, by means of the renormalization tec…
math-ph2019
On a -Adic Generalized Gibbs Measure for Ising Model on a Cayley Tree
Muzaffar Rahmatullaev, Otabek Khakimov, Akbarxoja Tukhtaboev
In this paper we consider a -adic Ising model on the Cayley tree of order . We give full description of all -adic translation-invariant generalized Gibbs measures fo…
math-ph2015
Gibbs measures and free energies of the Ising-Vannimenus Model on the Cayley tree
Farrukh Mukhamedov, Hasan Akin
In this paper, we consider Ising-Vannimenus model on a Cayley tree for order two with competing nearest-neighbor, prolonged next-nearest neighbor interactions. We stress that the m…