course-details-portlet

MA8102 - Dynamical Systems and Ergodic Theory

About

Lessons are not given in the academic year 2021/2022

Course content

The course will be given every second year (next time Spring 2023) 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
Facts

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

Coursework

No

Language of instruction: -

Location: Trondheim

Subject area(s)
  • Analysis
Contact information

Department with academic responsibility
Department of Mathematical Sciences

Examination

  • * 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.
Examination

For more information regarding registration for examination and examination procedures, see "Innsida - Exams"

More on examinations at NTNU