3 papers
math.AP2026
Around the Quantum Lenard-Balescu equation
Corentin Le Bihan
In the mean-field regime, a gas of quantum particles with Boltzmann statistics can be described by the Hartree-Fock equation. This dynamics becomes trivial if the initial distribut…
math.AP2026
Long time validity of the linearized Boltzmann uncut-off and the linearized Landau equations from the Newton Law
Corentin Le Bihan
We provide a rigorous justification of the linearized Boltzmann- and Landau equations from interacting particle systems with long-range interaction. The result shows that the fluct…
math-ph2025
Lenard-Balescu thermalization: rigorous derivation from a toy model
Mitia Duerinckx, Corentin Le Bihan
We study the long-time dynamics of a tagged particle coupled to a background of other particles, all interacting through long-range pairwise forces in the mean-field scaling, w…