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About Kac's Program in Kinetic Theory
7 pages. Announcement of the results in arxiv:1107.3251. To appear in Comptes Rendus Acad. Sciences Paris. -
Measure concentration through non-Lipschitz observables and functional inequa...
International audience -
Kac's Program in Kinetic Theory
101 pages. This preprint supersedes hal-00447988 / arXiv:1001.2994. It entirely includes these previous results and contains new results (relaxation rates independent of the... -
Mathematical models for the study of synchronization phenomena in neuronal ne...
The spike train, i.e. the sequence of the action potential timings of a single unit, is the usual data that is analyzed in electrophysiological recordings for the... -
Kac's chaos and Kac's program
In this note I present the main results about the quantitative and qualitative propagation of chaos for the Boltzmann-Kac system obtained in collaboration with... -
Asymptotic theorems for Boltzmann and Landau equations
This thesis is concerned with kinetic theory and many-particle systems in the setting of Boltzmann and Landau equations. Firstly, we study the derivation of kinetic...
