2 papers
math.PR2026
Splitting Gibbs Measures for a Periodic Triple Mixed-Spin Ising Model on a Cayley Tree
Farrukh Mukhamedov, Muzaffar Rahmatullaev, Obid Karshiboev
We consider an Ising model on the Cayley tree of arbitrary order with three spin species of values distributed deterministically with period t…
math-ph2023
The phase transition for the three-state SOS model with one-level competing interactions on the binary tree
Muzaffar M. Rahmatullaev, Obid Sh. Karshiboev
In this paper, we consider a three-state solid-on-solid (SOS) model with two competing interactions (nearest-neighbour, one-level next-nearest-neighbour) on the Cayley tree of orde…