MATS423 Optimal Mass Transportation (4–9 cr)

Study level:
Advanced studies
Grading scale:
0-5
Language:
English, Finnish
Responsible organisation:
Department of Mathematics and Statistics
Curriculum periods:
2017-2018, 2018-2019, 2019-2020

Description

Content

Monge and Kantorovitch formulations of optimal mass transportation, existence and uniqueness of optimal transport maps, Wasserstein distance, brief introduction to functionals and gradient flows in Wasserstein spaces. Ricci curvature lower bounds in metric spaces using optimal mass transportation.

Learning outcomes

-

Completion methods

Method 1

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Unpublished assessment item