MA8102 - Dynamical Systems and Ergodic Theory


Examination arrangement

Examination arrangement: Oral examination
Grade: Passed/Failed

Evaluation form Weighting Duration Examination aids Grade deviation
Oral examination 100/100

Course content

The course will be given every second year (next time Spring 2021) provided a sufficient number of students sign up for the course. If not, it will be given as a self-study course.
The course will cover transofrmations 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.

Course materials

Will be announced at the start of the course.

More on the course

Version: 1
Credits:  7.5 SP
Study level: Doctoral degree level


Term no.: 1
Teaching semester:  SPRING 2021

No.of lecture hours: 4
No.of specialization hours: 8

Language of instruction: -

Location: Trondheim

Subject area(s)
  • Analysis
Contact information
Course coordinator:

Department with academic responsibility
Department of Mathematical Sciences



Examination arrangement: Oral examination

Term Status code Evaluation form Weighting Examination aids Date Time Digital exam Room *
Spring ORD Oral examination 100/100
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"

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