On the isotropic constant of marginals

Grigoris Paouris. "On the isotropic constant of marginals." Studia Mathematica 212.3 (2012): 219-236. <http://eudml.org/doc/285585>.

@article{GrigorisPaouris2012,
abstract = {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, $π_\{F\} (μ₁ ⊗ ⋯ ⊗ μₘ)$, is bounded. This extends known results on bounds of the isotropic constant to a larger class of measures.},
author = {Grigoris Paouris},
journal = {Studia Mathematica},
keywords = {isotropic constant; marginals; subgaussian behavior},
language = {eng},
number = {3},
pages = {219-236},
title = {On the isotropic constant of marginals},
url = {http://eudml.org/doc/285585},
volume = {212},
year = {2012},
}

TY - JOUR
AU - Grigoris Paouris
TI - On the isotropic constant of marginals
JO - Studia Mathematica
PY - 2012
VL - 212
IS - 3
SP - 219
EP - 236
AB - 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, $π_{F} (μ₁ ⊗ ⋯ ⊗ μₘ)$, is bounded. This extends known results on bounds of the isotropic constant to a larger class of measures.
LA - eng
KW - isotropic constant; marginals; subgaussian behavior
UR - http://eudml.org/doc/285585
ER -