3 papers
math.DS2026
On the dynamics of self-consistent transfer operators for interval maps with singularities
Shadiyar Y. Altynbekov, Umrbek Olimov, Marks Ruziboev
We study the dynamics of self-consistent transfer operators associated with mean-field coupled systems whose unit dynamics is given by an interval map with finitely many singularit…
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…
math-ph2022
Fixed points of an infinite dimensional operator related to Gibbs measures
U. R. Olimov, U. A. Rozikov
We describe fixed points of an infinite dimensional non-linear operator related to a hard core (HC) model with a countable set of spin values on the Cayley tree. This…