On the isotropic constant of marginals

Grigoris Paouris

Studia Mathematica, Tome 209 (2012), p. 219-236 / Harvested from The Polish Digital Mathematics Library

Résumé

We show that if μ₁, ..., μₘ are log-concave subgaussian or supergaussian probability measures in $ℝ^{n_{i}}$ , i ≤ m, then for every F in the Grassmannian $G_{N, n}$ , where N = n₁ + ⋯ + nₘ and n< N, the isotropic constant of the marginal of the product of these measures, $π_{F} (μ ₁ \otimes \dots \otimes μ ₘ)$ , is bounded. This extends known results on bounds of the isotropic constant to a larger class of measures.

Publié le : 2012-01-01

Zbl 1262.28004

EUDML-ID : urn:eudml:doc:285585

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Grigoris Paouris. On the isotropic constant of marginals. Studia Mathematica, Tome 209 (2012) pp. 219-236. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm212-3-2/