57 citations · 887 across the 117 of their papers we have counts for
124 papers
Quantum Markov Chains for an Asymmetric Mixed Ising-XY Model on a Cayley Tree
Farrukh Mukhamedov
We study a mixed quantum Ising- model on the semi-infinite rooted Cayley tree of order two. For every vertex , the edge carries an interaction…
Splitting Gibbs Measures for a Periodic Triple Mixed-Spin Ising Model on a Cayley Tree
Farrukh Mukhamedov, Muzaffar Rahmatullaev, Obid Karshiboev
We consider an Ising model on the Cayley tree of arbitrary order with three spin species of values distributed deterministically with period t…
Rota-Baxter operators of nilpotent evolution algebras with maximal nilindex
Izzat Qaralleh, Farrukh Mukhamedov, Otabek Khakimov
Nilpotent evolution algebras of maximal nilindex admit a natural basis in which the structure matrix is strictly upper triangular. In this paper we classify Rota{Baxter operators o…
Unital Kadison-Schwarz Maps
Hajir Al Zadjali, Farrukh Mukhamedov
Quantum entanglement is an important phenomenon in quantum information theory. To detect entanglement theoretically, positive but not completely positive maps are used. The Kadison…
p-adic dynamical systems for -adic -models on the Cayley trees
Farrukh Mukhamedov, Otabek Khakimov
We review and propose to use of associated dynamical system to explore the phase transition phenomena in -adic statistical mechanics setting, by means of the renormalization tec…
Limits of sequence of Tensor Product Operators associated with the Walsh-Paley system
Ushangi Goginava, Farrukh Mukhamedov
It is well-known that to establish the almost everywhere convergence of a sequence of operators on -space, it is sufficient to obtain a weak -type inequality for the ma…