4 papers
Gradient Gibbs measures with periodic boundary laws of a generalized SOS model on a Cayley tree
F. H. Haydarov, R. A. Ilyasova
We consider Gradient Gibbs measures corresponding to a periodic boundary law for a generalized SOS model with spin values from a countable set, on Cayley trees. On the Cayley tree,…
Gibbs measures on spatial systems on vertices of Cayley trees
F. H. Haydarov
There are many research works devoted to Gibbs measure for models on Cayley trees. Among these works, there are some works in which the general results are identical, but the consi…
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…
Kolmogorov extension theorem for non-probability measures on Cayley trees
F. H. Haydarov
In this paper, we shall discuss the extendability of probability and non-probability measures on Cayley trees to a -additive measure on Borel fields which has a fundamental role…