86 citations · 574 across the 105 of their papers we have counts for
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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 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 some remarks on the Ising model with competing interactions on a Cayley tree
Farrukh Mukhamedov, Utkir Rozikov
In the present paper the Ising model with competing binary and interactions with spin values , on a Cayley tree is considered. We study translation-invatiant Gibbs…
On Gibbs Measures of Models with Competing Ternary and Binary Interactions and Corresponding Von Neumann Algebras II
Farrukh Mukhamedov, Utkir Rozikov
In the present paper the Ising model with competing binary () and binary () interactions with spin values , on a Cayley tree of order 2 is considered. The structure…
On Gibbs Measures of -Adic Potts Model on the Cayley Tree
Farrukh Mukhamedov, Utkir Rozikov
We consider a nearest-neighbor -adic Potts (with spin values and coupling constant $J\in \Q_p$) model on the Cayley tree of order . It is proved that a phase…
On Inhomogeneous -Adic Potts Model on a Cayley Tree
Farrukh Mukhamedov, Utkir Rozikov
We consider a nearest-neighbor inhomogeneous -adic Potts (with spin values) model on the Cayley tree of order . The inhomogeneity means that the interaction $…