37 citations · 218 across the 22 of their papers we have counts for
4 papers · 1 filter
On Quantum Markov Chains on Cayley tree III: Ising model
Luigi Accardi, Farrukh Mukhamedov, Mansoor Saburov
In this paper, we consider the classical Ising model on the Cayley tree of order k and show the existence of the phase transition in the following sense: there exists two quantum M…
On -Quadratic Stochastic Operators on two Dimensional simplex and their behavior
Farrukh Mukhamedov, Mansoor Saburov, Izzat Qaralleh
A quadratic stochastic operator (in short QSO) is usually used to present the time evolution of differing species in biology. Some quadratic stochastic operators have been studied…
Mutation and Chaos in Nonlinear Models of Heredity
Nasir Ganikhodjaev, Mansoor Saburov, Ashraf Mohamed Nawi
In this short communication, we shall explore a nonlinear discrete dynamical system that naturally occurs in population systems to describe a transmission of a trait from parents t…
Mendelian and Non-Mendelian Quadratic Operators
Nasir Ganikhodjaev, Mansoor Saburov, Uygun Jamilov
In this paper, we attempt to provide mathematical models of Mendelian and Non-Mendelian inheritances of the bisexual population system having Fisher's {\textbf{1:1}} principle. In…