6 citations · 6 across the 2 of their papers we have counts for
8 papers
Projective surjectivity of quadratic stochastic operators and its application
Farrukh Mukhamedov, Otabek Khakimov, Ahmad Fadillah Embong
A nonlinear Markov chain is a discrete time stochastic process whose transitions depend on both the current state and the current distribution of the process. The nonlinear Markov…
-adic monomial equations and their perturbation
Farrukh Mukhamedov, Otabek Khakimov
In this paper, we describe the set of all solutions of monomial equation over . Moreover, as an application of the result, we study several perturbations of th…
On omega limiting sets of infinite dimensional Volterra operators
Farrukh Mukhamedov, Otabek Khakimov, Ahmad Fadillah Embong
In the present paper, we are aiming to study limiting behavior of infinite dimensional Volterra operators. We introduce two classes and $\tilde{\mathcal{V}…
Chaotic behavior of the -adic Potts-Bethe mapping II
Farrukh Mukhamedov, Otabek Khakimov
In our previous investigations, we have developed the renormalization group method to -adic -state Potts model on the Cayley tree of order . This method is closely related…
On a -Adic Generalized Gibbs Measure for Ising Model on a Cayley Tree
Muzaffar Rahmatullaev, Otabek Khakimov, Akbarxoja Tukhtaboev
In this paper we consider a -adic Ising model on the Cayley tree of order . We give full description of all -adic translation-invariant generalized Gibbs measures fo…
Positive solutions of nonlinear integral equations and surjectivity of Non-Linear Markov Operators On Infinite Dimensional Simplex
Farrukh Mukhamedov, Otabek Khakimov, Ahmad Fadillah Embong
In the present paper, we consider the solvability of positive solutions of nonlinear integral equations by means of investigating non-linear Markov operators. To solve the problem…