On the isotropic constant of marginals Academic Article uri icon

abstract

  • We show that if μ1,...,μm are log-concave subgaussian or supergaussian probability measures in Rni , i ≤ m, then for every F in the Grassmannian GN,n, where N = n1 + ... + nm and n < N, the isotropic constant of the marginal of the product of these measures, φF (μ1...μm), is bounded. This extends known results on bounds of the isotropic constant to a larger class of measures. © Instytut Matematyczny PAN, 2012.

author list (cited authors)

  • Paouris, G.

citation count

  • 2

publication date

  • January 2012