{ "id": "math/0601475", "version": "v2", "published": "2006-01-19T15:41:37.000Z", "updated": "2007-01-29T14:29:23.000Z", "title": "Isoperimetry between exponential and Gaussian", "authors": [ "Franck Barthe", "Patrick Cattiaux", "Cyril Roberto" ], "categories": [ "math.PR" ], "abstract": "We study in details the isoperimetric profile of product probability measures with tails between the exponential and the Gaussian regime. In particular we exhibit many examples where coordinate half-spaces are approximate solutions of the isoperimetric problem.", "revisions": [ { "version": "v2", "updated": "2007-01-29T14:29:23.000Z" } ], "analyses": { "keywords": [ "exponential", "isoperimetry", "product probability measures", "isoperimetric problem", "gaussian regime" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2006math......1475B" } } }