32 citations · 119 across the 23 of their papers we have counts for
7 papers · 1 filter
Gradient Gibbs measures of a SOS model on Cayley trees: 4-periodic boundary laws
F. H. Haydarov, U. A. Rozikov
For SOS (solid-on-solid) model with external field and with spin values from the set of all integers, on a Cayley tree we give gradient Gibbs measures (GGMs). Such a measure corres…
Gradient Gibbs measures for the SOS model with integer spin values on a Cayley tree
G. I. Botirov, F. H. Haydarov
In the present paper we continue the investigation from [1] and consider the SOS (solid-on-solid) model on the Cayley tree of order . In the ferromagnetic SOS case on the…
Phase transition for models with continuum set of spin values on Bethe lattice
Yu. Kh. Eshkabilov, G. I. Botirov, F. H. Haydarov
In this paper we consider models with nearest-neighbor interactions and with the set [0,1] of spin values, on a Bethe lattice (Cayley tree) of an arbitrary order. These models depe…
Translation-invariant and periodic Gibbs measures for Potts model on a Cayley tree
R. M. Khakimov, F. H. Haydarov
In this paper is studied ferromagnetic three states Potts model on a Cayley tree of order three and we give explicit formulas for translation-invariant Gibbs measures. Furthermore,…
Four Competing interactions for models with uncountable set of spin values on a Cayley Tree
U. A. Rozikov, F. H. Haydarov
In this paper we consider four competing interactions (external field, nearest neighbor, second neighbors and triples of neighbors) of models with uncountable (i.e. ) set of…
On three-state Potts model on a Cayley tree: periodic measures
F. H. Haydarov, R. M. Khakimov
In this paper we show that under some conditions on the parameter of the Potts model with three states with zero external field on the Cayley tree of order , there are exactly…
New Phase transitions of the Ising model on Cayley trees
D. Gandolfo, F. H. Haydarov, U. A. Rozikov +1
We show that the nearest neighbors Ising model on the Cayley tree exhibits new temperature driven phase transitions. These transitions holds at various inverse temperatures differe…