Title	Superconcentration, and randomized Dvoretzky's theorem for spaces with 1-unconditional bases
Creator	Tikhomirov, Konstantin
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2017-05-25T11:15
Description	Let B be an unconditional convex body in R^n in the ell-position. Then for any small epsilon, and for random subspace E of dimension epsilonlog(n)/log(1/epsilon), distributed according to the rotation-invariant (Haar) measure, the section of B cut by E is (1+Cepsilon)-Euclidean with probability close to one. This shows that the ``worst-case'' dependence on epsilon in the randomized Dvoretzky theorem in the ell-position is significantly better than in John's position.
Extent	33 minutes
Subject	Mathematics; Convex and discrete geometry; Geometry; Discrete mathematics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Princeton University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2017-11-22
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0358046
URI	http://hdl.handle.net/2429/63691
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Postdoctoral
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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