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math.FA2010★ 18 cited
Interpolating Thin-Shell and Sharp Large-Deviation Estimates For Isotropic Log-Concave Measures
Olivier Guédon, Emanuel Milman
Given an isotropic random vector with log-concave density in Euclidean space $\Real^n$, we study the concentration properties of on all scales, both above and below its e…
math.FA2010
Isoperimetric Bounds on Convex Manifolds
Emanuel Milman
We extend several Cheeger-type isoperimetric bounds for convex sets in Euclidean space, due to Bobkov and Kannan-Lovász-Simonovits, to Riemannian manifolds having non-negative Ricc…