13 apr 2005

Abstract.

Seminari di calcolo delle variazioni

when: Wednesday, April 13, at 4.30 pm Attention! not the usual time

where: Dipartimento di Matematica, Sala delle Riunioni

speaker: Patrick Bernard (Université Joseph Fourier, Grenoble)

title: Optimal transportation and Lagrangian dynamics

abstract: I will expose some results on the optimal transportation of measures in the framework of lagrangian dyanmics. These results rest on some properties of Lipschitz regularity, which are new faces of a general family of results, federated by A. Fathi in a single abstract one,  which contain the Lipschitz graph property of Aubry Mather sets and the Lipschitz regularity of the decomposition in transport ray in Sudakov construction.