PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Alexei Novikov, Mark Levi, Leonid Berlyand, Yakov Pesin.

Title:Extremality, uniqueness and optimality of transference plans.
Seminar:Applied Analysis Seminar
Speaker:Stefano Bianchini, SISSA, Italy
Abstract:
For the transportation problem \[ \inf \int c(x,y) \pi \] where $\pi$ (the transference plan) is a probability measure with given marginals, and $c$ is a Borel cost, we are interested in the characterization of the minimizers (optimal plans). Analogous problems are the characterization of extremal points of the set of transference plans and its uniqueness. Even if the result is measure theoretic, it has applications to the solution of the Monge problem (existence of an optimal map) for convex l.s.c. costs.

Room Reservation Information

Room Number:MB106
Date:11 / 04 / 2014
Time:04:00pm - 05:00pm