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PhD_Thesis (15).pdf (555.08 KB)
ETD Abstract Container
Abstract Header
On Some Universality Problems in Combinatorial Random Matrix Theory
Author Info
Meehan, Sean
Permalink:
http://rave.ohiolink.edu/etdc/view?acc_num=osu1563381611232149
Abstract Details
Year and Degree
2019, Doctor of Philosophy, Ohio State University, Mathematics.
Abstract
This dissertation will exhibit some universal behavior of random matrices in two settings. First, we will study the eigenvectors of random symmetric matrices M
n
whose entries are sampled from symmetric distributions. We will then shift our study from characteristic zero to matrices over F
p
, instead studying the random normal vector, a (not necessarily unique) random vector orthogonal to each column. We will see that both of these respective vectors, the eigenvectors of M
n
and the normal vector over F
p
, behave like the uniform model.
Committee
Hoi Nguyen (Advisor)
Elliot Paquette (Committee Member)
David Sivakoff (Committee Member)
Fernando Teixeira (Other)
Pages
119 p.
Subject Headings
Mathematics
Keywords
random matrix theory
;
combinatorics
;
universality
;
uniformity
;
random eigenvectors
;
random normal vector
;
ulcd
;
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Refworks
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RIS
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Citations
Meehan, S. (2019).
On Some Universality Problems in Combinatorial Random Matrix Theory
[Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1563381611232149
APA Style (7th edition)
Meehan, Sean.
On Some Universality Problems in Combinatorial Random Matrix Theory.
2019. Ohio State University, Doctoral dissertation.
OhioLINK Electronic Theses and Dissertations Center
, http://rave.ohiolink.edu/etdc/view?acc_num=osu1563381611232149.
MLA Style (8th edition)
Meehan, Sean. "On Some Universality Problems in Combinatorial Random Matrix Theory." Doctoral dissertation, Ohio State University, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=osu1563381611232149
Chicago Manual of Style (17th edition)
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Document number:
osu1563381611232149
Download Count:
282
Copyright Info
© 2019, all rights reserved.
This open access ETD is published by The Ohio State University and OhioLINK.