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Superconcentration, and randomized Dvoretzky's theorem for spaces with 1-unconditional bases Tikhomirov, Konstantin
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 epsilon*log(n)/log(1/epsilon), distributed according to the rotation-invariant
(Haar) measure, the section of B cut by E is
(1+C*epsilon)-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.
Item Metadata
| Title |
Superconcentration, and randomized Dvoretzky's theorem for spaces with 1-unconditional bases
|
| Creator | |
| 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 epsilon*log(n)/log(1/epsilon), distributed according to the rotation-invariant
(Haar) measure, the section of B cut by E is
(1+C*epsilon)-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 | |
| Type | |
| File Format |
video/mp4
|
| Language |
eng
|
| Notes |
Author affiliation: Princeton University
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| Series | |
| Date Available |
2017-11-21
|
| Provider |
Vancouver : University of British Columbia Library
|
| Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
|
| DOI |
10.14288/1.0358046
|
| URI | |
| Affiliation | |
| Peer Review Status |
Unreviewed
|
| Scholarly Level |
Postdoctoral
|
| Rights URI | |
| Aggregated Source Repository |
DSpace
|
Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International