Gaussian marginals of convex bodies with symmetries

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We prove Gaussian approximation theorems for specific $k$-dimensional marginals of convex bodies which possess certain symmetries. In particular, we treat bodies which possess a 1-unconditional basis, as well as simplices. Our results extend recent results for 1-dimensional marginals due to E. Meckes and the author.
v4: major revision incorporating recent improvements in the main technical tools. To appear in Beitraege Algebra Geom

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Metric Geometry, Probability, 52A20; 60F05

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http://salesiana.dossiersoluciones.com/handle/123456789/215301

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0606073
 http://arxiv.org/abs/math/0606073
 Beitrage Algebra Geom. 50 (2009) no. 1, pp. 101-118.

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arXiv