6 papers · 1 filter
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…
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…
Optimal linear response for Anosov diffeomorphisms
Gary Froyland, Maxence Phalempin
It is well known that an Anosov diffeomorphism enjoys linear response of its SRB measure with respect to infinitesimal perturbations . For a fixed observation function…
Rare events statistics for map lattices coupled by collision
Wael Bahsoun, Maxence Phalempin
Understanding the statistics of collisions among locally confined gas particles poses a major challenge. In this work we investigate -map lattices coupled by collision…
Slow-fast systems in infinite measure, with or without averaging
Maxence Phalempin
This paper studies the asymptotic behaviour of the solution of a differential equation perturbed by a fast flow preserving an infinite measure. This question is related with limit…
Averaging theorems for slow fast systems in -extensions (discrete time)
Maxence Phalempin
We study the averaging method for flows perturbed by a dynamical system preserving an infinite measure. Motivated by the case of perturbation by the collision dynamic on the finite…