On nearly radial marginals of high-dimensional probability measures

2008/10/26 by Bo'az Klartag, Bo’az Klartag, Klartag, Bo'az
Mathematics · #Advanced Banach Space Theory #Point processes and geometric inequalities #advanced mathematical theories #math.FA #math.PR

paper · pdf · doi:10.48550/arxiv.0810.4700

32 pages. Section 7 was completely rewritten, in order to obtain a more general formulation of one of the results. To appear in J. Eur. Math. Soc

arxiv created 2009/07/09 · arxiv updated 2009/12/01

Abstract

We prove that any absolutely continuous probability measure on a high-dimensional linear space has low-dimensional marginals that are approximately spherically-symmetric.

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