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MATS423 Optimal mass transportation, 9 ECTS, syksy2014 [home page]

Department of Mathematics and Statistics

Announcement:
The language used was temporarily changed. Personal information page allows you to save your language settings.
You cannot register for the course because the course has expired.
The registration deadline for this course passed 10.12.14 at 23:59.

General information

Home page: http://users.jyu.fi/~tamaraja/MATS423/
Begins - ends: 9.9.14 - 10.12.14
Registration period: 18.7.14 at 0:00 - 10.12.14 at 23:59
Instructor(s): [F]yliopistonlehtori Tapio Rajala (tapio.m.rajala@jyu.fi)
Credits: 9 ECTS cr.
Languages: language(s) of instruction: English, suomi; completion language(s): suomi, English
Registered: 11
Max participants: 30
Still room for: 19
Organisations:Department of Mathematics and Statistics (MATHS), Mathematics (MAT)
Contents:

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.

Prerequisites:

Mitta- ja integraaliteoria. (Differentiaaliyhtälöiden, Funktionaalianalyysin ja Reaalianalyysin kurssien hallinnasta voi myös olla hyötyä.)

Modes of study:

Luennot 48 h

Completion mode:

Loppukoe

Schedule:

Luennot 48 h 9.9. alkaen ti ja to 12-14.

Literature:
  • C. Villani, Optimal Transport - Old and New (ISBN 978-3-540-71049-3) http://cedricvillani.org/wp-content/uploads/2012/08/preprint-1.pdf
  • L. Ambrosio and N. Gigli, A User's Guide to Optimal Transport in Modelling and Optimisation of Flows on Networks, Lecture Notes in Mathematics, 2013, pp 1-155 (ISBN 978-3-642-32159-7) http://cvgmt.sns.it/paper/195/
  • L. Ambrosio, N. Gigli and G. Savaré, Gradient Flows in Metric Spaces and in the Space of Probability Measures (ISBN 978-3-7643-8721-1)

[Limit information on study groups]

Lecture [group details and registration]

Luento 1 [group details and registration]; registered 11, maximum 20
reg.time: 18.7.2014 00:00 - 10.12.2014 23:59
 LocationWeekDayDateAtSupervisorFurther informationURITapahtuman tiedot
1MaD 38037Tu9.9.201412:15-14:00RajalaTapahtuman tiedot
2MaD 38038Tu16.9.201412:15-14:00RajalaTapahtuman tiedot
3MaD 38039Tu23.9.201412:15-14:00RajalaTapahtuman tiedot
4MaD 38040Tu30.9.201412:15-14:00RajalaTapahtuman tiedot
5MaD 38041Tu7.10.201412:15-14:00RajalaTapahtuman tiedot
6MaD 38042Tu14.10.201412:15-14:00RajalaTapahtuman tiedot
7MaD 38043Tu21.10.201412:15-14:00RajalaTapahtuman tiedot
8MaD 38045Tu4.11.201412:15-14:00RajalaTapahtuman tiedot
9MaD 38046Tu11.11.201412:15-14:00RajalaTapahtuman tiedot
10MaD 38047Tu18.11.201412:15-14:00RajalaTapahtuman tiedot
11MaD 38048Tu25.11.201412:15-14:00RajalaTapahtuman tiedot
Luento 2 [group details and registration]; registered 11, maximum 20
reg.time: 18.7.2014 00:00 - 10.12.2014 23:59
 LocationWeekDayDateAtSupervisorFurther informationURITapahtuman tiedot
1MaD 35537Th11.9.201412:15-14:00RajalaTapahtuman tiedot
2MaD 35538Th18.9.201412:15-14:00RajalaTapahtuman tiedot
3MaD 35540Th2.10.201412:15-14:00RajalaTapahtuman tiedot
4MaD 35541Th9.10.201412:15-14:00RajalaTapahtuman tiedot
5MaD 35542Th16.10.201412:15-14:00RajalaTapahtuman tiedot
6MaD 35543Th23.10.201412:15-14:00RajalaTapahtuman tiedot
7MaD 35545Th6.11.201412:15-14:00RajalaTapahtuman tiedot
8MaD 35546Th13.11.201412:15-14:00RajalaTapahtuman tiedot
9MaD 35547Th20.11.201412:15-14:00RajalaTapahtuman tiedot
10MaD 35548Th27.11.201412:15-14:00RajalaTapahtuman tiedot