Isoperimetry for spherically symmetric log-concave probability measures
| dc.creator | Huet, Nolwen | |
| dc.date | 2009-02-04 | |
| dc.date | 2009-02-27 | |
| dc.date.accessioned | 2026-07-07T12:47:02Z | |
| dc.date.available | 2026-07-07T12:47:02Z | |
| dc.description | We prove an isoperimetric inequality for probability measures $μ$ on $\mathbb{R}^n$ with density proportional to $\exp(-ϕ(λ| x|))$, where $|x|$ is the euclidean norm on $\mathbb{R}^n$ and $ϕ$ is a non-decreasing convex function. It applies in particular when $ϕ(x)=x^α$ with $α\ge1$. Under mild assumptions on $ϕ$, the inequality is dimension-free if $λ$ is chosen such that the covariance of $μ$ is the identity. | |
| dc.identifier | https://arxiv.org/abs/0902.0743 | |
| dc.identifier | http://arxiv.org/abs/0902.0743 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/221583 | |
| dc.subject | Probability | |
| dc.subject | 26D10, 60E15, 28A75 | |
| dc.title | Isoperimetry for spherically symmetric log-concave probability measures | |
| dc.type | text |