10 citations · 10 across the 5 of their papers we have counts for
5 papers
- Volterra Quadratic Stochastic Operators: Lyapunov Functions, Trajectories
U. A. Rozikov, A. Zada
We consider -Volterra quadratic stochastic operators defined on -dimensional simplex, where . Under some conditions on coefficients of such opera…
On periodic -harmonic functions on Cayley tree
U. A. Rozikov, F. T. Ishankulov
We show that any periodic with respect to normal subgroups (of the group representation of the Cayley tree) of finite index -harmonic function is a constant. For some normal sub…
On Dynamics of - Volterra Quadratic Stochastic Operators
U. A. Rozikov, A. Zada
We introduce a notion of -Volterra quadratic stochastic operator defined on -dimensional simplex, where . The -Volterra operator is a Volte…
On -Quadratic Stochastic Operators
U. A. Rozikov, U. U. Jamilov
In this paper we introduce a notion of quadratic stochastic operator. For a wide class of such operators we show that each operator of the class has unique fixed point. Also w…
An Analysis of Ising Type Models On Cayley Tree by a Contour Argument
U. A. Rozikov
In the paper the Ising model with competing and interactions with spin values , on a Cayley tree of order 2 (with 3 neighbors) is considered . We study the struc…