Author
Griesmer, John

Year
2009

Advisor
Bergelson, Vitaly

Abstract
The study of multiple ergodic averages and multiple correlation sequences was initiated by Furstenberg to give an ergodic-theoretic proof of Szemer\'edi's theorem on arithmetic progressions.  In this dissertation we generalize some of the recent results on multiple ergodic averages and correlation sequences.  We also apply some of the techniques from the study of multiple ergodic averages as a means of generalizing some of the recent results on sumsets in infinite groups.

Thesis
Griesmer_Dissertation.pdf