57 citations · 887 across the 117 of their papers we have counts for
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Stability and monotonicity of Lotka-Volterra type operators
Farrukh Mukhamedov, Mansoor Saburov
In the present paper, we study Lotka-Volterra (LV) type operators defined in finite dimensional simplex. We prove that any LV type operator is a surjection of the simplex. After, w…
Quantum Markov fields on graphs
Luigi Accardi, Hiromichi Ohno, Farrukh Mukhamedov
We introduce generalized quantum Markov states and generalized d-Markov chains which extend the notion quantum Markov chains on spin systems to that on -algebras defined by ge…
Ergodic properties of Bogoliubov automorphisms in free probability
Francesco Fidaleo, Farrukh Mukhamedov
We show that some --dynamical systems obtained by "quantizing" classical ones on the free Fock space, enjoy very strong ergodic properties. Namely, if the classical dynamical…
On Marginal Markov Processes of Quantum Quadratic Stochastic Processes
Farrukh Mukhamedov
In the paper it is defined two marginal Markov processes on von Neumann algebras $\cm$ and $\cmø\cm$, respectively, corresponding to given quantum quadratic stochastic process (q.q…
On Limit theorems in - algebras
Abdusalom Karimov, Farrukh Mukhamedov
In the present paper, we study bundle convergence in - algebra and prove certain ergodic theorems with respect to such convergence. Moreover, conditional expectations of revers…
On infinite dimensional Volterra type operators
Farrukh Mukhamedov, Mansoor Saburov
In this paper we study Volterra type operators on infinite dimensional simplex. It is provided a sufficient condition for Volterra type operators to be bijective. Furthermore it is…