37 citations · 218 across the 22 of their papers we have counts for
24 papers
Stable and Historic Behavior in Replicator Equations Generated by Similar-Order Preserving Mappings
Mansoor Saburov
One could observe drastically different dynamics of zero-sum and non-zero-sum games under replicator equations. In zero-sum games, heteroclinic cycles naturally occur whenever the…
Periodic -adic Gibbs measures of -states Potts model on Cayley tree: The chaos implies the vastness of -adic Gibbs measures
Mohd Ali Khameini Ahmad, Lingmin Liao, Mansoor Saburov
We study the set of -adic Gibbs measures of the -states Potts model on the Cayley tree of order three. We prove the vastness of the periodic -adic Gibbs measures for such…
Elliptic Quadratic Operator Equations
Rasul Ganikhodjaev, Farrukh Mukhamedov, Mansoor Saburov
In the present paper is devoted to the study of elliptic quadratic operator equations over the finite dimensional Euclidean space. We provide necessary and sufficient conditions fo…
The Dynamics of The Potts-Bethe Mapping over The Case
Mansoor Saburov, Mohd Ali Khameini Ahmad
In this paper, we study the dynamics of the Potts-Bethe mapping associated with the adic state Potts model over the Cayley tree of order three. Namely, we establish the reg…
On the Lebesgue nonlinear transformations
Nasir Ganikhodjaev, Mansoor Saburov, Ramazon Muhitdinov
In this paper, we introduce a quadratic stochastic operators on the set of all probability measures of a measurable space. We study the dynamics of the Lebesgue quadratic stochasti…
On -adic Ising-Vannimenus model on an arbitrary order Cayley tree
Farrukh Mukhamedov, Mansoor Saburov, Otabek Khakimov
In this paper, we continue an investigation of the -adic Ising-Vannimenus model on the Cayley tree of an arbitrary order ). We prove the existence of -adic quas…