Course - Dynamical Systems and Ergodic Theory - MA8102
MA8102 - Dynamical Systems and Ergodic Theory
About
Examination arrangement
Examination arrangement: Oral examination
Grade: Passed / Not Passed
| Evaluation | Weighting | Duration | Grade deviation | Examination aids |
|---|---|---|---|---|
| Oral examination | 100/100 | E |
Course content
The course will cover transformations of topological and measurable spaces, and study the asymptotic properties of these. The origin of ergodic theory was the so-called ergodic hypothesis, which was the basis of classical statistical mechanics as founded by Boltzmann and Gibbs. Catchwords are measure-preserving systems, Birkhoff's pointwice ergodic theorem, recurrence, systems with discrete spectrum, entropy, minimal topological dynamical systems.
Learning outcome
1. Knowledge. The student has a knowledge of concepts and methods from dynamical systems, as specified under course content. 2. Skills The students should be able to recognize problems, related to topics mentioned above and fulfill researches related to ergodic theory, dynamical systems and their applications to various areas of mathematics as well as to applied disciplines. 3. Competence The students should be able to participate in scientific discussions and conduct researches on high international level in dynamical systems and ergodic theory as well as collaborate in joint interdisciplinary researches.
Learning methods and activities
Lectures, alternatively guided self-study.
The course will be given every second year (next time Spring 2025) provided a sufficient number of students sign up for the course. If not, it will be given as a self-study course.
Recommended previous knowledge
TMA4225 Foundation of Analysis.
Course materials
Will be announced at the start of the course.
Version: 1
Credits:
7.5 SP
Study level: Doctoral degree level
Term no.: 1
Teaching semester: SPRING 2025
Language of instruction: English
Location: Trondheim
- Analysis
Department with academic responsibility
Department of Mathematical Sciences
Examination
Examination arrangement: Oral examination
- Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
- Spring ORD Oral examination 100/100 E
-
Room Building Number of candidates
- * The location (room) for a written examination is published 3 days before examination date. If more than one room is listed, you will find your room at Studentweb.
For more information regarding registration for examination and examination procedures, see "Innsida - Exams"