Instructor: David Kerr
W 10:00-11:30, or by appointment
TR 12:45-2:00, BLOC 205B
The course will be an introduction to the theory of measure-preserving group actions
on probability spaces and will also include some topological dynamics. The main topics will be ergodicity, weak mixing, compactness, dynamical tilings, entropy, and orbit equivalence.
Emphasis will be given to the relationship between these dynamical phenomena and
structural properties of groups such as amenability, property (T), and soficity.
No background in ergodic theory is required, but some basic functional analysis will be assumed
(e.g., operators on Hilbert space).
- David Kerr and Hanfeng Li. Ergodic Theory: Independence and Dichotomies. Springer, Cham, 2016.
The following books are also recommended:
- Karl Petersen. Ergodic Theory. Cambridge University Press, Cambridge, 1989.
- Peter Walters. An Introduction to Ergodic Theory. Springer, New York, 2000.
Submit solutions to at least five of
(due December 10).