On the isotropic constant of marginals
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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.
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