English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

In this series of lectures we introduce the Monge-Kantorovich problem ofoptimally transporting one distribution of mass onto another, where optimalityis measured against a cost function c(x,y). Connections to geometry,inequalities, and partial differential equations will be discussed, focusing inparticular on recent developments in the regularity theory for Monge-Amperetype equations. An application to microeconomics will also be described, whichamounts to finding the equilibrium price distribution for a monopolistmarketing a multidimensional line of products to a population of anonymousagents whose preferences are known only statistically.

Five lectures on optimal transportation: Geometry, regularity and applications