38 citations · 79 across the 15 of their papers we have counts for
5 papers · 1 filter
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…
Regularity of some class of nonlinear transformations
N. N. Ganikhodjaev, M. R. B. Wahiddin, D. V. Zanin
In this paper we consider quadratic stochastic operators designed on finite Abelian groups. It is proved that such operators have the property of regularity.
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 Entropy Transmission for Quantum Channels
Nasir Ganikhodjaev, Farrukh Mukhamedov
In this paper a notion of entropy transmission of quantum channels is introduced as a natural extension of Ohya's entropy. Here by quantum channel is meant unital completely positi…