65-459 Introduction to the ergodic theory (in English)

Course offering details

Instructors: Dr. Ivan Yaroslavtsev

Event type: Lecture

Displayed in timetable as: M-VDGL-V

Hours per week: 2

Language of instruction: English

Min. | Max. participants: - | -

Comments/contents:
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.

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

Appointments
Date From To Room Instructors
1 Th, 6. Apr. 2023 14:15 15:45 Geom H1 Dr. Ivan Yaroslavtsev
2 Mon, 17. Apr. 2023 10:15 11:45 Geom H3 Dr. Ivan Yaroslavtsev
3 Mon, 24. Apr. 2023 10:15 11:45 Geom H3 Dr. Ivan Yaroslavtsev
4 Mon, 8. May 2023 10:15 11:45 Geom H3 Dr. Ivan Yaroslavtsev
5 Mon, 22. May 2023 10:15 11:45 Geom H3 Dr. Ivan Yaroslavtsev
6 Mon, 5. Jun. 2023 10:15 11:45 Geom H3 Dr. Ivan Yaroslavtsev
7 Mon, 12. Jun. 2023 10:15 11:45 Geom H3 Dr. Ivan Yaroslavtsev
8 Mon, 19. Jun. 2023 10:15 11:45 Geom H3 Dr. Ivan Yaroslavtsev
9 Mon, 26. Jun. 2023 10:15 11:45 Geom H3 Dr. Ivan Yaroslavtsev
10 Mon, 3. Jul. 2023 10:15 11:45 Geom H3 Dr. Ivan Yaroslavtsev
11 Mon, 10. Jul. 2023 10:15 11:45 Geom H3 Dr. Ivan Yaroslavtsev
Exams in context of modules
Module (start semester)/ Course Requirement combination Exam Date Instructors Compulsory pass
Ma-M-VDGL_1 Advanced Differential Equations 1 (SuSe 23) / M-VDGL-V  Introduction to the ergodic theory (in English) Prüfung 1  Oral exam Time tbd Dr. Ivan Yaroslavtsev Yes
Ma-M-VDGL_2 Advanced Differential Equations 2 (SuSe 23) / M-VDGL-V  Introduction to the ergodic theory (in English) Prüfung 1  Oral exam Time tbd Dr. Ivan Yaroslavtsev Yes
Ma-M-VDGL_3 Advanced Differential Equations 3 (SuSe 23) / M-VDGL-V  Introduction to the ergodic theory (in English) Prüfung 1  Oral exam Time tbd Dr. Ivan Yaroslavtsev Yes
Class session overview
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Instructors
Dr. Ivan Yaroslavtsev