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osu1243973834.pdf (898.65 KB)
ETD Abstract Container
Abstract Header
Ergodic averages, correlation sequences, and sumsets
Author Info
Griesmer, John Thomas
Permalink:
http://rave.ohiolink.edu/etdc/view?acc_num=osu1243973834
Abstract Details
Year and Degree
2009, Doctor of Philosophy, Ohio State University, Mathematics.
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.
Committee
Vitaly Bergelson, PhD (Advisor)
Neil Falkner, PhD (Committee Member)
Alexander Leibman, PhD (Committee Member)
Pages
234 p.
Subject Headings
Mathematics
Keywords
ergodic averages
;
correlation sequences
;
characteristic factor
;
sumsets
;
nilsequence
;
nilmanifold
;
Bohr sets
;
piecewise Bohr
Recommended Citations
Refworks
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Citations
Griesmer, J. T. (2009).
Ergodic averages, correlation sequences, and sumsets
[Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1243973834
APA Style (7th edition)
Griesmer, John.
Ergodic averages, correlation sequences, and sumsets.
2009. Ohio State University, Doctoral dissertation.
OhioLINK Electronic Theses and Dissertations Center
, http://rave.ohiolink.edu/etdc/view?acc_num=osu1243973834.
MLA Style (8th edition)
Griesmer, John. "Ergodic averages, correlation sequences, and sumsets." Doctoral dissertation, Ohio State University, 2009. http://rave.ohiolink.edu/etdc/view?acc_num=osu1243973834
Chicago Manual of Style (17th edition)
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Document number:
osu1243973834
Download Count:
1,147
Copyright Info
© 2009, some rights reserved.
Ergodic averages, correlation sequences, and sumsets by John Thomas Griesmer is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. Based on a work at etd.ohiolink.edu.
This open access ETD is published by The Ohio State University and OhioLINK.