Isoperimetry for spherically symmetric log-concave probability measures
Nolwen Huet
Université de Toulouse, France
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Abstract
We prove an isoperimetric inequality for probability measures on with density proportional to , where is the euclidean norm on and is a non-decreasing convex function. It applies in particular when with . Under mild assumptions on , the inequality is dimension-free if is chosen such that the covariance of is the identity.
Cite this article
Nolwen Huet, Isoperimetry for spherically symmetric log-concave probability measures. Rev. Mat. Iberoam. 27 (2011), no. 1, pp. 93–122
DOI 10.4171/RMI/631