On the isotropic constant of marginals

• Autorzy: Grigoris Paouris
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 52A38: Length, area, volume
• 52A40: Inequalities and extremum problems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2012
• Tom: 212
• Numer: 3
• Strony: 219-236

Daty

wydano

2012

Twórcy

autor

Grigoris Paouris

• Department of Mathematics, Texas A&M University, College Station, TX 77843, U.S.A.

Identyfikatory

DOI

10.4064/sm212-3-2