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SUMMARY:Optimal transport\, mean field games and gradient flows - Carrillo
 \, J (Imperial College London)
DTSTART:20141008T153000Z
DTEND:20141008T160000Z
UID:TALK55034@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:I will review how optimal transport can be seen as a  mean fie
 ld game via the Benamou-Brenier formula. Then I will show how Nash-Cournot
  equilibria are related to local minimizers of interaction energies or fre
 e energies penalized with the Wassertein distance. I will discuss briefly 
 numerical schemes based on the optimal transportation viewpoint for the ev
 olution PDEs obtained which are related to gradient flows of the free ener
 gy.\n
LOCATION:Seminar Room 1\, Newton Institute
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