most citedA Generalization of Caffarelli's Contraction Theorem via (reverse) Heat Flow

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math.FA2012

A Proof of Bobkov's Spectral Bound For Convex Domains via Gaussian Fitting and Free Energy Estimation

Emanuel Milman

We obtain a new proof of Bobkov's lower bound on the first positive eigenvalue of the (negative) Neumann Laplacian (or equivalently, the Cheeger constant) on a bounded convex domai…

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…