Geodesic
On nearly radial marginals of high-dimensional probability measures
Journal of the European Mathematical Society, Tome 12 (2010) no. 3, pp. 723-754.

Voir la notice de l'article provenant de la source EMS Press

Suppose that μ is an absolutely continuous probability measure on Rn, for large n. Then μ has low-dimensional marginals that are approximately spherically-symmetric. More precisely, if n≥(C/ε)Cd, then there exist d-dimensional marginals of μ that are ε-far from being spherically-symmetric, in an appropriate sense. Here C>0 is a universal constant.
DOI : 10.4171/jems/213
Classification : 28-XX, 46-XX, 60-XX, 00-XX
Keywords: High-dimensional measures, marginals, Dvoretzky's theorem 
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     title = {On nearly radial marginals of high-dimensional probability measures},
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Bo'az Klartag. On nearly radial marginals of high-dimensional probability measures. Journal of the European Mathematical Society, Tome 12 (2010) no. 3, pp. 723-754. doi : 10.4171/jems/213. http://geodesic.mathdoc.fr/articles/10.4171/jems/213/

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