38 citations · 79 across the 15 of their papers we have counts for
17 papers
Gradient Gibbs measures of an SOS model with alternating magnetism on Cayley trees
N. N. Ganikhodjaev, N. M. Khatamov, U. A. Rozikov
The work is devoted to gradient Gibbs measures (GGMs) of a SOS model with countable set of spin values and having alternating magnetism on Cayley trees. This model is d…
Dynamics of quadratic operators generated by China's Five elements philosophy
N. N. Ganikhodjaev, C. H. Pah, U. A. Rozikov
Motivating by the China's five element philosophy (CFEP) we construct a permuted Volterra quadratic stochastic operator acting on the four dimensional simplex. This operator (depen…
Weakly periodic Gibbs measures of the Ising model on the Cayley tree of order five and six
Nasir Ganikhodjaev, Muzaffar Rahmatullaev, Mohd Hirzie Bin Mohd Rodzhan
For Ising model on the Cayley tree of order five and six we present new weakly periodic (non-periodic) Gibbs measures corresponding to normal subgroups of indices two in the group…
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…
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…