Polynomial bounds for large Bernoulli sections of $\ell_1^N$

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dc.creatorArtstein-Avidan, Shiri
dc.creatorFriedland, Omer
dc.creatorMilman, Vitali
dc.creatorSodin, Sasha
dc.date2006-01-15
dc.date2006-03-15
dc.date.accessioned2026-07-07T08:23:29Z
dc.date.available2026-07-07T08:23:29Z
dc.descriptionWe prove a quantitative version of the bound on the smallest singular value of a Bernoulli covariance matrix (due to Bai and Yin). Then we use this bound, together with several recent developments, to show that the distance from a random (1-delta) n - dimensional section of ell_1^n, realised as an image of a sign matrix, to an Euclidean ball is polynomial in 1/delta (and independent of n), with high probability.
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/math/0601369
dc.identifierhttp://arxiv.org/abs/math/0601369
dc.identifierIsrael J. Math. 156 (2006), 141--155
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136014
dc.subjectFunctional Analysis
dc.subjectMathematical Physics
dc.subjectMetric Geometry
dc.titlePolynomial bounds for large Bernoulli sections of $\ell_1^N$
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