Mathematical Sciences Research Institute

Home » Workshop » Schedules » Partial regularity of optimal transport maps

Partial regularity of optimal transport maps

Introductory Workshop on Optimal Transport: Geometry and Dynamics August 26, 2013 - August 30, 2013

August 29, 2013 (11:00 AM PDT - 12:00 PM PDT)
Speaker(s): Guido De Philippis (Hausdorff Research Institute for Mathematics, University of Bonn)
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC


Abstract We prove that for general smooth cost functions on the Euclidean space, or for the cost given by the squared distance on a Riemannian manifold, optimal transport maps between smooth densities are smooth outside a closed set of measure zero.(joint work with Alessio Figalli)
18145?type=thumb v1143 343 KB application/pdf Download
Video/Audio Files


H.264 Video v1143.m4v 288 MB video/mp4 rtsp://videos.msri.org/data/000/017/645/original/v1143.m4v Download
Quicktime v1143.mov 417 MB video/quicktime rtsp://videos.msri.org/data/000/017/646/original/v1143.mov Download
Troubles with video?

Please report video problems to itsupport@msri.org.

See more of our Streaming videos on our main VMath Videos page.