Ergodic theory SS 2021, David Kerr

This course is an introduction to ergodic theory, which studies 
group actions on measure spaces and is largely concerned with the asymptotic
and perturbative behavior of such dynamical systems. The subject traces 
its roots back to classical and statistical mechanics and has
a wide range of applications throughout mathematics,
from number theory and operator algebras to differentiable dynamics and
the rigidity theory of Lie groups and their lattices. The topics
covered in the course include the ergodic theorems of von Neumann and Birkhoff,
the Rokhlin lemma, mixing properties, amenability, and entropy.
Some knowledge of measure and integration theory will be assumed.
The course can be taken as the first part of a functional analysis
Vertiefungsmodul in the Bachelor's program, or as part of a Verbreiterungsmodul 
in the Master's program.

Kurs im HIS-LSF