Maxence Phalempin

collaborators

3 papers

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…

math.PR2023

An alternative approach to large deviations for the almost-critical Erdős-Rényi random graph

Luisa Andreis, Gianmarco Bet, Maxence Phalempin

We study the near-critical behavior of the sparse Erdős-Rényi random graph $G (n, p)$ on $n ≫ 1$ vertices, where the connection probability $p$ satisfies $np = 1+θ(b_n^2/n)…

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

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

An alternative approach to large deviations for the almost-critical Erdős-Rényi random graph

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