3 citations · 3 across the 1 of their papers we have counts for
2 papers
math-ph2023★ 3 cited
Ground states and Gibbs measures of Ising model with competing interactions and an external field on a Cayley tree
M. M. Rahmatullaev, M. A. Rasulova, J. N Asqarov
We consider the Ising model with competing interactions and a nonzero external field on the Cayley tree of order two. We describe ground states and verify the Peierls condition for…
math-ph2021
Extremality of translation-invariant Gibbs measures for the Potts-SOS model on the Cayley tree
M. M. Rahmatullaev, M. A. Rasulova
In this paper, we consider the Potts-SOS model where the spin takes values in the set on the Cayley tree of order two. We describe all the translation-invariant split…