Gaussian marginals of convex bodies with symmetries

Details Gaussian marginals of convex bodies with symmetries Gaussian marginals of convex bodies with symmetries

2006-06-03

arxiv.org/abs/math/0606073v4

Beitrage Algebra Geom. 50 (2009) no. 1, pp. 101-118.

Mathematics

Metric Geometry

v4: major revision incorporating recent improvements in the main technical tools. To appear in Beitraege Algebra Geom

Scientific paper

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.

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