An isoperimetric inequality on the $\ell_p$ balls
| dc.creator | Sodin, Sasha | |
| dc.date | 2006-07-17 | |
| dc.date | 2008-05-23 | |
| dc.date.accessioned | 2026-07-07T09:40:58Z | |
| dc.date.available | 2026-07-07T09:40:58Z | |
| dc.description | The normalised volume measure on the $\ell_p^n$ unit ball ($1\leq p\leq 2$) satisfies the following isoperimetric inequality: the boundary measure of a set of measure $a$ is at least $cn^{1/p}\tilde{a}\log^{1-1/p}(1/\tilde{a})$, where $\tilde{a}=\min(a,1-a)$. | |
| dc.description | Published in at http://dx.doi.org/10.1214/07-AIHP121 the Annales de l'Institut Henri Poincaré - Probabilités et Statistiques (http://www.imstat.org/aihp/) by the Institute of Mathematical Statistics (http://www.imstat.org) | |
| dc.identifier | https://arxiv.org/abs/math/0607398 | |
| dc.identifier | http://arxiv.org/abs/math/0607398 | |
| dc.identifier | Annales de l'Institut Henri Poincaré - Probabilités et Statistiques 2008, Vol. 44, No. 2, 362-373 | |
| dc.identifier | doi:10.1214/07-AIHP121 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/161664 | |
| dc.subject | Probability | |
| dc.subject | Metric Geometry | |
| dc.title | An isoperimetric inequality on the $\ell_p$ balls | |
| dc.type | text |