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math.DS2024
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…
math.DS2024
Impulsive Lorenz semiflows: Physical measures, statistical stability and entropy stability
José F. Alves, Wael Bahsoun
We study semiflows generated via impulsive perturbations of Lorenz flows. We prove that such semiflows admit a finite number of physical measures. Moreover, if the impulsive pertur…
math.DS2024
Mean field coupled dynamical systems: Bifurcations and phase transitions
Wael Bahsoun, Carlangelo Liverani
We develop a bifurcation theory for infinite dimensional systems satisfying abstract hypotheses that are tailored for applications to mean field coupled chaotic maps. Our abstract…