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math.DS2026
Annealed Ruelle-Pollicott Resonances
Sakshi Jain, Maxence Phalempin
We adapt the theory of Ruelle-Pollicott resonances to annealed random dynamical systems generated by independent and identically distributed families of maps. Introducing annealed…
math.DS2026
Fixed-point approximation for self-consistent transfer operators with Newton's method
Wael Bahsoun, Gary Froyland, Maxence Phalempin
Self consistent transfer operators arise naturally in the study of mean-field coupled dynamical systems and are closely related to kinetic PDEs such as the Vlasov equation. Despite…