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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.DS2026
Linear response for random systems with a cusp
Davrbek Oltiboev, Karim Rakhimov, Marks Ruziboev
We study i.i.d.\ random compositions of cusp tent-like interval maps having a common cusp point and a common cusp value. For cusp exponents , we prove that the assoc…