@inbook{8595bba2b4a14b04bc715f3ffb583a2a,
title = "Approximately gaussian marginals and the hyperplane conjecture",
abstract = "We discuss connections between certain well-known open problems related to the uniform measure on a high-dimensional convex body. In particular, we show that the {"}thin shell conjecture{"} implies the {"}hyperplane conjecture{"}. This extends a result by K. Ball, according to which the stronger {"}spectral gap conjecture{"} implies the {"}hyperplane conjecture{"}.",
author = "Ronen Eldan and Bo'az Klartag",
note = "The authors were supported in part by the Israel Science Foundation and by a Marie Curie Reintegration Grant from the Commission of the European Communities. The first named author was also supported by a Farajun Foundation Fellowship.; International Workshop on Concentration, Functional Inequalities and Isoperimetry ; Conference date: 29-10-2009 Through 01-11-2009",
year = "2011",
doi = "10.1090/conm/545",
language = "الإنجليزيّة",
isbn = "978-0-8218-4971-2",
series = "Contemporary Mathematics",
publisher = "American Mathematical Society",
pages = "55--68",
editor = "C Houdre and M Ledoux and E Milman and M Milman",
booktitle = "Concentration, Functional Inequalities and Isoperimetry",
address = "الولايات المتّحدة",
}