MATS423 Optimal Mass Transportation (5 cr)

Monge and Kantorovitch formulations of optimal mass transportation, existence and uniqueness of optimal transport maps, Wasserstein distance, and brief introduction to functionals on Wasserstein spaces. Optionally applications of optimal mass transportation.

The student is able to formulate the optimal mass transportation problem and prove the existence of its solution under suitable assumptions.

Measure and integration theory 1 and 2

The courses Functional analysis, Real analysis and Advanced measure theory will be useful but not mandatory.

lecture notes