Ergodic averages, correlation sequences, and sumsets
by Griesmer, John Thomas, Ph.D., THE OHIO STATE UNIVERSITY, 2009, 234 pages; 3375828

Abstract:

The study of multiple ergodic averages and multiple correlation sequences was initiated by Furstenberg to give an ergodic-theoretic proof of Szemerédi’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.

 
AdviserVitaly Bergelson
SchoolTHE OHIO STATE UNIVERSITY
SourceDAI/B 70-09, p. , Nov 2009
Source TypeDissertation
SubjectsMathematics
Publication Number3375828
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