65-459 Introduction to the ergodic theory

Veranstaltungsdetails

Lehrende: Dr. Ivan Yaroslavtsev

Veranstaltungsart: Vorlesung

Anzeige im Stundenplan: M-VDGL-V

Semesterwochenstunden: 2

Unterrichtssprache: Englisch

Min. | Max. Teilnehmerzahl: - | -

Kommentare/ Inhalte:
This course provides an introduction to the ergodic theory. We will discuss the following topics: 

* Measure-preserving transformations
* Ergodicity
* Strong and weak mixing
* Birkhoff's ergodic theorem
* Corresponding examples and simulations 

The course is aimed for Master students, but it could suit well interested Bachelor students too. Basic knowledge of Real Analysis, Probability Theory, Measure Theory, and Functional Analysis is recommended. The Bachelor course "Ordinary Differential Equations and Dynamical Systems" by Prof. Jens Rademacher is well connected with the presented one. 

Literatur:
"An Introduction to Ergodic Theory" by Peter Walters
"Lectures on Ergodic Theory" by Paul Halmos 

Modulkürzel:
Ma-M-VDGL_n

Termine
Datum Von Bis Raum Lehrende
1 Do, 6. Apr. 2023 14:15 15:45 Geom H1 Dr. Ivan Yaroslavtsev
2 Mo, 17. Apr. 2023 10:15 11:45 Geom H3 Dr. Ivan Yaroslavtsev
3 Mo, 24. Apr. 2023 10:15 11:45 Geom H3 Dr. Ivan Yaroslavtsev
4 Mo, 8. Mai 2023 10:15 11:45 Geom H3 Dr. Ivan Yaroslavtsev
5 Mo, 22. Mai 2023 10:15 11:45 Geom H3 Dr. Ivan Yaroslavtsev
6 Mo, 5. Jun. 2023 10:15 11:45 Geom H3 Dr. Ivan Yaroslavtsev
7 Mo, 12. Jun. 2023 10:15 11:45 Geom H3 Dr. Ivan Yaroslavtsev
8 Mo, 19. Jun. 2023 10:15 11:45 Geom H3 Dr. Ivan Yaroslavtsev
9 Mo, 26. Jun. 2023 10:15 11:45 Geom H3 Dr. Ivan Yaroslavtsev
10 Mo, 3. Jul. 2023 10:15 11:45 Geom H3 Dr. Ivan Yaroslavtsev
11 Mo, 10. Jul. 2023 10:15 11:45 Geom H3 Dr. Ivan Yaroslavtsev
Prüfungen im Rahmen von Modulen
Modul (Startsemester)/ Kurs Leistungs­kombination Prüfung Datum Lehrende Bestehens­pflicht
Ma-M-VDGL_1 Vertiefung Differentialgleichungen 1 (SoSe 23) / M-VDGL-V  Introduction to the ergodic theory Prüfung 1  Mündliche Prüfung k.Terminbuchung Dr. Ivan Yaroslavtsev Ja
Ma-M-VDGL_2 Vertiefung Differentialgleichungen 2 (SoSe 23) / M-VDGL-V  Introduction to the ergodic theory Prüfung 1  Mündliche Prüfung k.Terminbuchung Dr. Ivan Yaroslavtsev Ja
Ma-M-VDGL_3 Vertiefung Differentialgleichungen 3 (SoSe 23) / M-VDGL-V  Introduction to the ergodic theory Prüfung 1  Mündliche Prüfung k.Terminbuchung Dr. Ivan Yaroslavtsev Ja
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Lehrende
Dr. Ivan Yaroslavtsev