250138 VO Ergodic Theory (2023S)

6.00 ECTS (4.00 SWS), SPL 25 - Mathematik

Moodle

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Note: The time of your registration within the registration period has no effect on the allocation of places (no first come, first served).

Details

Language: English

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

Thursday 02.03. 08:00 - 09:30 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Monday 06.03. 09:45 - 11:15 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 09.03. 08:00 - 09:30 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 16.03. 08:00 - 09:30 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Monday 20.03. 09:45 - 11:15 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 23.03. 08:00 - 09:30 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Monday 27.03. 09:45 - 11:15 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 30.03. 08:00 - 09:30 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Monday 17.04. 09:45 - 11:15 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 20.04. 08:00 - 09:30 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Monday 24.04. 09:45 - 11:15 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 27.04. 08:00 - 09:30 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 04.05. 08:00 - 09:30 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Monday 08.05. 09:45 - 11:15 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 11.05. 08:00 - 09:30 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Monday 15.05. 09:45 - 11:15 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Monday 22.05. 09:45 - 11:15 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 25.05. 08:00 - 09:30 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 01.06. 08:00 - 09:30 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Monday 05.06. 09:45 - 11:15 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Monday 12.06. 09:45 - 11:15 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 15.06. 08:00 - 09:30 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Monday 19.06. 09:45 - 11:15 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 22.06. 08:00 - 09:30 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Monday 26.06. 09:45 - 11:15 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 29.06. 08:00 - 09:30 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock

Information

Aims, contents and method of the course

Ergodic Theory is a multi-faceted field of mathematics. The goal of this course is to explain how it allows us to understand (important features of) the long-term behavior of dynamical systems which are "chaotic" in that detailed predictions are impossible (for mathematical reasons). This is a "quantitative" (measure-theoretic) study of dynamical systems complementing the "qualitative" (topological) viewpoint often discussed in courses on differential equations. While everything will be illustrated in the context of simple prototypical examples, the basic theory takes place in an abstract measure-theoretic setup, and a background in (or the willingness to learn some) functional analysis and probability theory is also useful.

Assessment and permitted materials

oral exam (unless Covid regulations prescribe otherwise)

Minimum requirements and assessment criteria

Understanding and working knowledge of the material discussed in the lectures

Examination topics

Will be specified during the lectures

Reading list

Jane Hawkins, Ergodic Dynamics; From Basic Theory to Applications, Springer-Verlag2021, ISBN: 978-3-030-59242-4 (ebook) or ISBN: 978-3-030-59244-8 (paper back)
Peter Walters, An Introduction to Ergodic Theory, Springer-Verlag 1975 ISBN 0-387-95152-0.
Ricardo Mañé, Ergodic theory and differentiable dynamics, Ergebnisse der Mathematik und ihrer Grenzgebiete 8. Springer-Verlag, Berlin, 1987. ISBN: 3-540-15278-4
Daniel Rudolph, Fundamentals of measurable dynamics, Oxford Science Publications, Clarendon Press Oxford 1990 ISBN 0-19-853572-4
Karl Petersen, Ergodic Theory, Cambridge Studies in Advanced Mathematics, 1983, Cambridge University Press ISBN 0-521-38997-6

Association in the course directory

MSTV

Last modified: Fr 15.11.2024 00:15