38 citations · 79 across the 15 of their papers we have counts for
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Gradient Gibbs measures of an SOS model with alternating magnetism on Cayley trees
N. N. Ganikhodjaev, N. M. Khatamov, U. A. Rozikov
The work is devoted to gradient Gibbs measures (GGMs) of a SOS model with countable set of spin values and having alternating magnetism on Cayley trees. This model is d…
Weakly periodic Gibbs measures of the Ising model on the Cayley tree of order five and six
Nasir Ganikhodjaev, Muzaffar Rahmatullaev, Mohd Hirzie Bin Mohd Rodzhan
For Ising model on the Cayley tree of order five and six we present new weakly periodic (non-periodic) Gibbs measures corresponding to normal subgroups of indices two in the group…
On a Phase Separation Point for One - Dimensional Models
N. N. Ganikhodjaev, U. A. Rozikov
In the paper a one-dimensional model with nearest - neighbor interactions and spin values is considered. It is known that under some conditions on parameters…
Pirogov-Sinai Theory With New Contours for Symmetric Models
N. N. Ganikhodjaev, U. A. Rozikov
The contour argument was introduced by Peierls for two dimensional Ising model. Peierls benefited from the particular symmetries of the Ising model. For non-symmetric models the ar…
Correlation Inequalities for Generalized Potts Model: General Griffiths' Inequalities
Nasir Ganikhodjaev, Fatimah Abdul Razak
In this paper, correlation inequalities which have been considered on Ising model are extended to q-Potts model. It is considered on generalized Potts model with interaction of any…
On the three state Potts model with competing interactions on the Bethe lattice
Nasir Ganikhodjaev, Farrukh Mukhamedov, Jose F. F. Mendes
In the present paper the three state Potts model with competing binary interactions (with couplings and ) on the second order Bethe lattice is considered. The recurrent eq…