3 citations · 6 across the 10 of their papers we have counts for
10 papers
Infinite dimensional analogues of nilpotent and solvable Lie algebras
F. H. Haydarov, B. A. Omirov, G. O. Solijanova
We study infinite-dimensional analogues of nilpotent and solvable Lie algebras, focusing on the classes of pro-nilpotent, residually nilpotent, pro-solvable and residually solvable…
Coupled Ising-Potts Model: Rich Sets of Critical Temperatures and Translation-Invariant Gibbs Measures
F. H. Haydarov, B. A. Omirov, U. A. Rozikov
We consider a coupled Ising-Potts model on Cayley trees of order . This model involves spin vectors , and generalizes both the Ising and Potts models by incor…
Non-Gibbsian Multivariate Ewens Probability Distributions on Regular Trees
F. H. Haydarov, Z. E. Mustafoyeva, U. A. Rozikov
Ewens' sampling formula (ESF) provides the probability distribution governing the number of distinct genetic types and their respective frequencies at a selectively neutral locus u…
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…
Invariance property on group representations of the Cayley tree and its applications
U. A. Rozikov, F. H. Haydarov
In the present paper, we give a certain condition on subgroups of the group representation of the Cayley tree such that an invariance property holds. Except for the given condition…
Fixed points of Lyapunov integral operators and Gibbs measures
F. H. Haydarov
In this paper we shall consider the connections between Lyapunov integral operators and Gibbs measures for four competing interactions of models with uncountable (i.e. ) set…