5 papers · 1 filter
Hidden convexity in a problem of nonlinear elasticity
Nassif Ghoussoub, Young-Heon Kim, Hugo Lavenant +1
We study compressible and incompressible nonlinear elasticity variational problems in a general context. Our main result gives a sufficient condition for an equilibrium to be a glo…
Optimal Controlled Transports with Free End Times Subject to Import/Export Tariffs
Samer Dweik, Nassif Ghoussoub, Aaron Zeff Palmer
We analyze controlled mass transportation plans with free end-time that minimize the transport cost induced by the generating function of a Lagrangian within a bounded domain, in a…
A solution to the Monge transport problem for Brownian martingales
Nassif Ghoussoub, Young-Heon Kim, Aaron Zeff Palmer
We provide a solution to the problem of optimal transport by Brownian martingales in general dimensions whenever the transport cost satisfies certain subharmonic properties in the…
The Dyson and Coulomb games
René Carmona, Mark Cerenzia, Aaron Zeff Palmer
We introduce and investigate certain player dynamic games on the line and in the plane that admit Coulomb gas dynamics as a Nash equilibrium. Most significantly, we find that t…
PDE Methods For Optimal Skorokhod Embeddings
Nassif Ghoussoub, Young-Heon Kim, Aaron Zeff Palmer
We consider cost minimizing stopping time solutions to Skorokhod embedding problems, which deal with transporting a source probability measure to a given target measure through a s…