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About Kac's Program in Kinetic Theory
Stéphane Mischler, Clément Mouhot
In this Note we present the main results from the recent work arxiv:1107.3251, which answers several conjectures raised fifty years ago by Kac. There Kac introduced a many-particle…
Kac's Program in Kinetic Theory
Stéphane Mischler, Clément Mouhot
This paper is devoted to the study of propagation of chaos and mean-field limits for systems of indistinguable particles, undergoing collision processes. The prime examples we will…
On Measure Solutions of the Boltzmann Equation, part I: Moment Production and Stability Estimates
Xuguang Lu, Clément Mouhot
The spatially homogeneous Boltzmann equation with hard potentials is considered for measure valued initial data having finite mass and energy. We prove the existence of \emph{weak…
A new approach to quantitative propagation of chaos for drift, diffusion and jump processes
Stéphane Mischler, Clément Mouhot, Bernt Wennberg
This paper is devoted the the study of the mean field limit for many-particle systems undergoing jump, drift or diffusion processes, as well as combinations of them. The main resul…