On nearly radial marginals of high-dimensional probability measures

  • Bo'az Klartag

    Tel-Aviv University, Israel

Abstract

Suppose that is an absolutely continuous probability measure on , for large . Then has low-dimensional marginals that are approximately spherically-symmetric. More precisely, if , then there exist -dimensional marginals of that are -far from being spherically-symmetric, in an appropriate sense. Here is a universal constant.

Cite this article

Bo'az Klartag, On nearly radial marginals of high-dimensional probability measures. J. Eur. Math. Soc. 12 (2010), no. 3, pp. 723–754

DOI 10.4171/JEMS/213