55 citations · 153 across the 6 of their papers we have counts for
6 papers
N Infinite Dimensional Quadratic Volterra Operators
Farrukh Mukhamedov, Hasan Akin, Seyit Temir
In this paper we study a class of quadratic operators named by Volterra operators on infinite dimensional space. We prove that such operators have infinitely many fixed points and…
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 Uniqueness of Gibbs Measures for -Adic Nonhomogeneous -Model on the Cayley Tree
Murod Khamraev, Farrukh Mukhamedov, Utkir Rozikov
We consider a nearest-neighbor -adic -model with spin values on a Cayley tree of order . We prove for the model there is no phase transition and as well as t…
Markov states on the CAR algebra
Luigi Accardi, Francesco Fidaleo, Farruh Mukhamedov
The program relative to the investigation of quantum Markov states for spin chains based on Canonical Anticommutation Relations algebra is carried on. This analysis provides a furt…
Diagonalizability of non homogeneous quantum Markov states and associated von Neumann algebras
Francesco Fidaleo, Farruh Mukhamedov
We clarify the meaning of diagonalizability of quantum Markov states. Then, we prove that each non homogeneous quantum Markov state is diagonalizable. Namely, for each Markov state…
On factors associated with quantum Markov states corresponding to nearest neighbor models on a Cayley tree
Francesco Fidaleo, Farruh Mukhamedov
In this paper we consider nearest neighbour models where the spin takes values in the set $Φ=\{\z_1,\z_2,...,\z_q\}$ and is assigned to the vertices of the Cayley tree ${\G}^k$. Th…