3 papers
math.PR2025
Non-Gibbsian Multivariate Ewens Probability Distributions on Regular Trees
F. H. Haydarov, Z. E. Mustafoyeva, U. A. Rozikov
Ewens' sampling formula (ESF) provides the probability distribution governing the number of distinct genetic types and their respective frequencies at a selectively neutral locus u…
math.DS2024
Stability analysis of a three-dimensional system of Topp model with diabetes
Z. S. Boxonov, U. A. Rozikov
Mathematical models of glucose, insulin, and pancreatic -cell mass dynamics are essential for understanding the physiological basis of type 2 diabetes. This paper investigates t…
math.DS2024
Dynamical systems of an infinite-dimensional non-linear operator
U. R. Olimov, U. A. Rozikov
We investigate discrete-time dynamical systems generated by an infinite-dimensional non-linear operator that maps the Banach space to itself. It is demonstrated that this ope…