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arXiv:math/0606073 [math.MG]AbstractReferencesReviewsResources

Gaussian marginals of convex bodies with symmetries

Mark W. Meckes

Published 2006-06-03, updated 2008-06-20Version 4

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.

Comments: v4: major revision incorporating recent improvements in the main technical tools. To appear in Beitraege Algebra Geom
Journal: Beitrage Algebra Geom. 50 (2009) no. 1, pp. 101-118.
Categories: math.MG, math.PR
Subjects: 52A20, 60F05
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