This page contains links to the following documents that may be of interest to people studying these topics:

Course notes: part 1 and part 2 (prepared by Henry Cohn and David Gamarnik).

My favorite proof of the Birkhoff Ergodic Theorem.

The first problem set, with solutions.

The second problem set, with solutions.

The third problem set, with solutions.

The fourth problem set, with solutions.