High-Dimensional Phenomena in Convex Geometry, and Random Matrix Theory
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Date
Author
Institution
http://id.loc.gov/authorities/names/n79058482
Degree Level
Doctoral
Degree
Doctor of Philosophy
Department
Department of Mathematical and Statistical Sciences
Specialization
Mathematics
Supervisor / Co-Supervisor and Their Department(s)
Citation for Previous Publication
K. E. Tikhomirov. The smallest singular value of random rectangular matrices with no moment assumptions on entries. Israel Journal of Mathematics, 2016. DOI: 10.1007/s11856-016-1287-8, K. Tikhomirov and P. Youssef, When does a discrete-time random walk in $R^n$ absorb the origin into its convex hull? 2015, arXiv:1410.0458, to appear in the Annals of Probability., K. E. Tikhomirov, On the distance of polytopes with few vertices to the Euclidean ball, Discrete Comput. Geom. 53 (2015), no.1, 173-181., K. E. Tikhomirov, The Randomized Dvoretzky's theorem in \ell^{\infty} and the chi-distribution, Geometric Aspects of Functional Analysis, Lecture Notes in Mathematics, 2116 (2014), 455-463., K. E. Tikhomirov, Almost Euclidean sections in symmetric spaces and concentration of order statistics, J. Funct. Anal. 265 (2013), no.9, 2074-2088., K. Tikhomirov, The limit of the smallest singular value of random matrices with i.i.d. entries, Adv. Math. 284 (2015), 1-20.
Link to Related Item
Abstract
This thesis is based on six papers.
Item Type
http://purl.org/coar/resource_type/c_46ec
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Other License Text / Link
This thesis is made available by the University of Alberta Libraries with permission of the copyright owner solely for non-commercial purposes. This thesis, or any portion thereof, may not otherwise be copied or reproduced without the written consent of the copyright owner, except to the extent permitted by Canadian copyright law.
Subject/Keywords
Language
en