Maxence Phalempin

activity

20232026

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math.DS2024

Rare events statistics for $Z^{d}$ 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 $Z^{d}$ -map lattices coupled by collision…

math.DS2024

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…

math.DS2024

Averaging theorems for slow fast systems in $Z$ -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…

Rare events statistics for Zd map lattices coupled by collision

Slow-fast systems in infinite measure, with or without averaging

Averaging theorems for slow fast systems in Z-extensions (discrete time)

Rare events statistics for $Z^{d}$ map lattices coupled by collision

Averaging theorems for slow fast systems in $Z$ -extensions (discrete time)