MATS423 Optimal Mass Transportation (5 cr)

Study level:
Advanced studies
Grading scale:
0-5
Language:
English, Finnish
Responsible organisation:
Department of Mathematics and Statistics
Curriculum periods:
2020-2021, 2021-2022, 2022-2023

Description

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.

Learning outcomes

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

Description of prerequisites

Measure and integration theory 1 and 2


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

Study materials

lecture notes

Literature

Completion methods

Method 1

Evaluation criteria:
course exam points and exercise points
Select all marked parts

Method 2

Evaluation criteria:
final exam points
Select all marked parts
Parts of the completion methods
x

Participation in teaching (5 cr)

Type:
Participation in teaching
Grading scale:
0-5
Evaluation criteria:
course exam points and exercise points
Language:
English, Finnish
Study methods:

lectures and exercises

Teaching

x

Exam (5 cr)

Type:
Exam
Grading scale:
0-5
Evaluation criteria:
final exam points
Language:
English, Finnish
No published teaching