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Talks and mini course :
Title: A gradient flow approach to the Boltzmann equation
Abstract: In this talk I will present a new point of view on the spatially homogeneous Boltzmann equation viewing it as the gradient flow of the entropy. This gradient flow structure relies on a new notion of distance between probability measures that takes the collision process between particles into account and takes over the role of the Wasserstein distance. As two applications of this point of view I will present a time-discrete variational approximation scheme for the homogeneous Boltzmann equation and a new and simple proof for the convergence of Kac's random walk to the Boltzmann equation.
Title: New results about the link between entropic and displacement interpolations
Abstract: After reviewing the notion of entropic interpolation, I shall discuss in which sense it can be used to provide a second order approximation of the classical displacement interpolation both in the smooth and in the non-smooth setting. The main application of this result is the second order differentiation formula on RCD spaces. From a work with Luca Tamanini.
Title: Ricci curvature bounds for discrete and quantum systems
Title: Some smooth applications of non-smooth Ricci curvature lower bounds.
Salle Fokko du Cloux
|Wednesday, 15th||Thursday, 16th||Friday, 17th|
|10h-11h Coffee||9h30-12h30 : Cédric Villani||9h30- 12h30 : Cédric Villani|
|11h-13h Cédric Villani||12h30-14h lunch||12h30-14h lunch|
|13h-14h30 lunch||14h-15h Jan Maas||14h-15h Matthias Erbar|
|14h30-15h30 Andrea Mondino||15h15-16h15 Nicola Gigli|
Organisateurs : I. Gentil, N. Gozlan et C. Léonard
Contact : Ivan Gentil