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Ergodic averages, correlation sequences, and sumsets
Griesmer, John Thomas

2009, Doctor of Philosophy, Ohio State University, Mathematics.
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.
Vitaly Bergelson, PhD (Advisor)
Neil Falkner, PhD (Committee Member)
Alexander Leibman, PhD (Committee Member)
234 p.

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Griesmer, J. (2009). Ergodic averages, correlation sequences, and sumsets. (Electronic Thesis or Dissertation). Retrieved from https://etd.ohiolink.edu/

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Griesmer, John. "Ergodic averages, correlation sequences, and sumsets." Electronic Thesis or Dissertation. Ohio State University, 2009. OhioLINK Electronic Theses and Dissertations Center. 26 Sep 2017.

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Griesmer, John "Ergodic averages, correlation sequences, and sumsets." Electronic Thesis or Dissertation. Ohio State University, 2009. https://etd.ohiolink.edu/

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