Optimal Transportation and Applications
timetable:
Mon 24 Oct, 15:15 - 16:00, Aula Magna Bruno Pontecorvo
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Globally Lipschitz (non-optimal) maps
speaker: Max Fathi (UFR de Mathematiques, Universite de Paris)abstract: Lipschitz transport maps allow to transfer functional and isoperimetric inequalities, such as logarithmic Sobolev inequalities, from one probability measure to another. For uniformly log-concave measures on Euclidean spaces, this can be done using quadratic optimal transport, thanks to Caffarelli's contraction theorem. In this talk, I will discuss a stochastic construction of Lipschitz transport maps that works in other settings, including some non-log-concave measures and Riemannian manifolds. Joint work with D. Mikulincer, J. Neeman and Y. Shenfeld.
timetable:
Mon 24 Oct, 15:15 - 16:00, Aula Magna Bruno Pontecorvo
<< Go back