Ergodic Theory Learning Seminar

Julius Frizzell, University of Waterloo

A Quick Introduction to Ergodic Theory

I will introduce the basic definitions and theorems (without proof) of ergodic theory that are needed to discuss Furstenberg's multiple recurrence theorem. The development will follow that in Chapter 1 of "An Introduction to Ergodic Theory" by Peter Walters and Chapter 3 of "Multiple Recurrence in Ergodic Theory and Combinatorial Number Theory" by Harry Furstenberg. Time allowing, I will also cover the statement of the Multiple recurrence theorem itself and its relationship to Szemerédi's theorem.

MC 5417