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|
|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
Room Reservation Information
|Date:||11 / 04 / 2014|
|Time:||04:00pm - 05:00pm|