Pointwise Estimates for Marginals of Convex Bodies
| dc.creator | Eldan, Ronen | |
| dc.creator | Klartag, Bo'az | |
| dc.date | 2007-08-18 | |
| dc.date.accessioned | 2026-07-07T08:24:18Z | |
| dc.date.available | 2026-07-07T08:24:18Z | |
| dc.description | We prove a pointwise version of the multi-dimensional central limit theorem for convex bodies. Namely, let X be an isotropic random vector in R^n with a log-concave density. For a typical subspace E in R^n of dimension n^c, consider the probability density of the projection of X onto E. We show that the ratio between this probability density and the standard gaussian density in E is very close to 1 in large parts of E. Here c > 0 is a universal constant. This complements a recent result by the second named author, where the total-variation metric between the densities was considered. | |
| dc.description | 17 pages | |
| dc.identifier | https://arxiv.org/abs/0708.2513 | |
| dc.identifier | http://arxiv.org/abs/0708.2513 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/136297 | |
| dc.subject | Metric Geometry | |
| dc.subject | Functional Analysis | |
| dc.title | Pointwise Estimates for Marginals of Convex Bodies | |
| dc.type | text |