57 citations · 887 across the 117 of their papers we have counts for
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On Quantum Markov Chains on Cayley tree III: Ising model
Luigi Accardi, Farrukh Mukhamedov, Mansoor Saburov
In this paper, we consider the classical Ising model on the Cayley tree of order k and show the existence of the phase transition in the following sense: there exists two quantum M…
Ergodic properties of nonhomogeneous Markov chains defined on ordered Banach spaces with a base
Farrukh Mukhamedov
It is known that the Dobrushin's ergodicity coefficient is one of the effective tools to study a behavior of non-homogeneous Markov chains. In the present paper, we define such an…
On pure quasi quantum quadratic operators of M_2(C)
Farrukh Mukhamedov, Abduaziz Abduganiev
In the present paper we study quasi quantum quadratic operators (q.q.o) acting on the algebra of matrices . It is known that a channel is called pure if it send…
Weighted ergodic theorem for contractions of Orlicz-Kantorovich lattice
Inomjon Ganiev, Farrukh Mukhamedov
In the present paper we prove Besocovich weighted ergodic theorem for positive contractions acting on Orlich-Kantorovich space. Our main tool is the use of methods of measurable bu…
On -Quadratic Stochastic Operators on two Dimensional simplex and their behavior
Farrukh Mukhamedov, Mansoor Saburov, Izzat Qaralleh
A quadratic stochastic operator (in short QSO) is usually used to present the time evolution of differing species in biology. Some quadratic stochastic operators have been studied…
Continuous- and discrete-time Glauber dynamics. First- and second-order phase transitions in mean-field Potts models
M. Ostilli, F. Mukhamedov
As is known, at the Gibbs-Boltzmann equilibrium, the mean-field -state Potts model with a ferromagnetic coupling has only a first order phase transition when , while th…