course-details-portlet

MA8102

Dynamical Systems and Ergodic Theory

Choose study year
Credits 7.5
Level Doctoral degree level
Course start Spring 2025
Duration 1 semester
Language of instruction English
Location Trondheim
Examination arrangement Oral examination

About

About the course

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.

Course materials

Will be announced at the start of the course.

Subject areas

  • Analysis

Contact information

Course coordinator

Department with academic responsibility

Department of Mathematical Sciences