Course - Dynamical Systems and Ergodic Theory - MA8102
Dynamical Systems and Ergodic Theory
About
About the course
Course content
The course will be given every second year (next time Spring 2011) provided 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 methods and activities
Lectures, alternatively guided self-study.
Recommended previous knowledge
TMA4225 (SIF5052) Foundation of Analysis (alternatively, MNFMA320 Foundation of Analysis).
Course materials
Will be announced at the start of the course.
Subject areas
- Analysis