86 citations · 118 across the 15 of their papers we have counts for
16 papers
Extreme Gibbs measures for a Hard-Core-SOS model on Cayley trees
R. M. Khakimov, M. T. Makhammadaliev, U. A. Rozikov
We investigate splitting Gibbs measures (SGMs) of a three-state (wand-graph) hardcore SOS model on Cayley trees of order . Recently, this model was studied for the hing…
Tranlation-invariant Gibbs measures for the Hard-Core model with a countable set of spin values
R. M. Khakimov, M. T. Makhammadaliev
In this paper, we study the Hard Core (HC) model with a countable set of spin values on a Cayley tree of order . This model is defined by a countable set of parame…
Gibbs measures for a Hard-Core model with a countable set of states
U. Rozikov, R. Khakimov, M. T. Makhammadaliev
In this paper, we focus on studying non-probability Gibbs measures for a Hard Core (HC) model on a Cayley tree of order , where the set of integers is the set…
New class of Gibbs measures for two state Hard-Core model on a Cayley tree
R. M. Khakimov, M T. Makhammadaliev, F. H. Haydarov
In this paper, we consider a Hard-Core model with two spin values on Cayley trees. The conception of alternative Gibbs measure is introduced and translational invariance con…
Gibbs measures for HC-model with a countable set of spin values on a Cayley tree
R. M. Khakimov, M. T. Makhammadaliev, U. A. Rozikov
In this paper, we study the HC-model with a countable set of spin values on a Cayley tree of order . This model is defined by a countable set of parameters (th…
Conditions of the uniqueness and non-uniqueness of weakly periodic Gibbs measures for Hard-Core model
R. M. Khakimov, M. T. Makhammadaliyev
In this paper we study Hard-Core model on a Cayley tree. For a normal divisor of index four new conditions for uniqueness and non-uniqueness of weakly periodic Gibbs measures are f…