{ "id": "math/0606073", "version": "v4", "published": "2006-06-03T03:47:04.000Z", "updated": "2008-06-20T18:30:56.000Z", "title": "Gaussian marginals of convex bodies with symmetries", "authors": [ "Mark W. Meckes" ], "comment": "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" ], "abstract": "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.", "revisions": [ { "version": "v4", "updated": "2008-06-20T18:30:56.000Z" } ], "analyses": { "subjects": [ "52A20", "60F05" ], "keywords": [ "convex bodies", "gaussian marginals", "symmetries", "gaussian approximation theorems", "dimensional marginals" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2006math......6073M" } } }