Eigenvalue fluctuations for random regular graphs

dc.contributor.advisor	Dumitriu, Ioana	en_US
dc.contributor.author	Johnson, Tobias Lee	en_US
dc.date.accessioned	2014-10-13T20:06:32Z
dc.date.available	2014-10-13T20:06:32Z
dc.date.issued	2014-10-13
dc.date.submitted	2014	en_US
dc.description	Thesis (Ph.D.)--University of Washington, 2014	en_US
dc.description.abstract	One of the major themes of random matrix theory is that many asymptotic properties of traditionally studied distributions of random matrices are <italic>universal</italic>. We probe the edges of universality by studying the spectral properties of random regular graphs. Specifically, we prove limit theorems for the fluctuations of linear spectral statistics of random regular graphs. We find both universal and non-universal behavior. Our most important tool is Stein's method for Poisson approximation, which we develop for use on random regular graphs.	en_US
dc.embargo.terms	Open Access	en_US
dc.format.mimetype	application/pdf	en_US
dc.identifier.other	Johnson_washington_0250E_13065.pdf	en_US
dc.identifier.uri	http://hdl.handle.net/1773/26531
dc.language.iso	en_US	en_US
dc.rights	Copyright is held by the individual authors.	en_US
dc.subject	corners process; eigenvalue fluctuations; minors process; Poisson approximation; random regular graphs; Stein's method	en_US
dc.subject.other	Mathematics	en_US
dc.subject.other	mathematics	en_US
dc.title	Eigenvalue fluctuations for random regular graphs	en_US
dc.type	Thesis	en_US

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