Five lectures on optimal transportation: Geometry, regularity and applications

Details Five lectures on optimal transportation: Geometry, regularity and applications Five lectures on optimal transportation: Geometry, regularity and applications

2010-11-12

arxiv.org/abs/1011.2911v1

Mathematics

Analysis of PDEs

Scientific paper

In this series of lectures we introduce the Monge-Kantorovich problem of optimally transporting one distribution of mass onto another, where optimality is measured against a cost function c(x,y). Connections to geometry, inequalities, and partial differential equations will be discussed, focusing in particular on recent developments in the regularity theory for Monge-Ampere type equations. An application to microeconomics will also be described, which amounts to finding the equilibrium price distribution for a monopolist marketing a multidimensional line of products to a population of anonymous agents whose preferences are known only statistically.

Affiliated with

Also associated with

No associations

Rating

Five lectures on optimal transportation: Geometry, regularity and applications does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Five lectures on optimal transportation: Geometry, regularity and applications, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Five lectures on optimal transportation: Geometry, regularity and applications will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-204209