38 citations · 250 across the 46 of their papers we have counts for
10 papers · 1 filter
On Phase Transitions for -Adic Potts Model with Competing Interactions on a Cayley Tree
Farrukh Mukhamedov, Utkir Rozikov, Jose Fernando F. Mendes
In the paper we considere three state -adic Potts model with competing interactions on a Cayley tree of order two. We reduce a problem of describing of the -adic Gibbs measur…
On stability properties of positive contractions of -spaces accosiated with finite von Neumann algebras
Farrukh Mukhamedov, Hasan Akin, Seyit Temir
In the paper we extent the notion of Dobrushin coefficient of ergodicity for positive contractions defined on -space associated with finite von Neumann algebra, and in terms o…
On the ergodic principle for Markov and quadratic Stochastic Processes and its relations
Nasir Ganikhodjaev, Hasan Akin, Farrukh Mukhamedov
In the paper we prove that a quadratic stochastic process satisfies the ergodic principle if and only if the associated Markov process satisfies one.
On Rational -Adic Dyanamical Systems
Farrukh Mukhamedov, Utkir Rozikov
In the paper we investigate the behavior of trajectory of rational -adic dynamical system in complex -adic filed $\C_p$. It is studied Siegel disks and attractors of such dyn…
On a Class of Rational -Adic Dynamical Systems
Murod Khamraev, Farrukh Mukhamedov
In this paper we investigate the behavior of trajectories of one class of rational -adic dynamical systems in complex -adic field $\C_p$. We studied Siegel disks and attracto…
On the "Zero-Two" Law for Positive Contractions on Banach-Kantorovich Lattice
Inomjon Ganiev, Farrukh Mukhamedov
In the present paper we prove the "zero-two" law for positive contractions of lattices of Banach-Kantorovich, constructed by the measure with values in the ring…