86 citations · 574 across the 105 of their papers we have counts for
108 papers
Dynamical systems of Möbius transformation: real, -adic and complex variables
E. T. Aliev, U. A. Rozikov
In this paper we consider function , (where , , ) on three fields: the set of real, -adic and complex numbers. We study…
Gonosomal algebras and associated discrete-time dynamical systems
U. A. Rozikov, S. K. Shoyimardonov, R. Varro
In this paper we study the discrete-time dynamical systems associated with gonosomal algebras used as algebraic model in the sex-linked genes inheritance. We show that the class of…
Kittel's molecular zipper model on Cayley trees
U. A. Rozikov
Kittel's 1D model represents a natural DNA with two strands as a (molecular) zipper, which may separated as the temperature is varied. We define multidimensional version of this mo…
Bubble coalescence in interacting system of DNA molecules
U. A. Rozikov
We consider two models of interacting DNA molecules: \textit{First} is (four parametric) bubble coalescence model in interacting DNAs (shortly: BCI-DNA). \textit{Second} is (three…
Evolutionary behavior in a two-locus system
A. M. Diyorov, U. A. Rozikov
In this short note we study a dynamical system generated by a two-parametric quadratic operator mapping 3-dimensional simplex to itself. This is an evolution operator of the freque…
A non-linear second-order difference equation related to Gibbs measures of a SOS model
U. A. Rozikov
For the SOS (solid-on-solid) model with an external field and with spin values from the set of all integers on a Cayley tree each (gradient) Gibbs measure corresponds to a boundary…