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250187 VO Ergodic Theory and Dynamical Systems II (2019S)

6.00 ECTS (4.00 SWS), SPL 25 - Mathematik

Registration/Deregistration

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

Wednesday 06.03. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 07.03. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday 13.03. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 14.03. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday 20.03. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 21.03. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday 27.03. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 28.03. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday 03.04. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 04.04. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday 10.04. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 11.04. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 02.05. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday 08.05. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 09.05. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday 15.05. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 16.05. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday 22.05. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 23.05. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday 29.05. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday 05.06. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 06.06. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday 12.06. 08:00 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 13.06. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday 19.06. 08:00 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday 26.06. 08:00 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 27.06. 09:45 - 11:15 Seminarraum 7 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 basic 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.
In this second part of the course, we will discuss (inter alia) further classes of examples, some general constructions, entropy theory, and finer probabilistic properties (e.g. central limit theorem).

Assessment and permitted materials

oral exam

Minimum requirements and assessment criteria

understanding of the material discussed in the lectures

Examination topics

will be specified during the lectures

Reading list