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math.FA2009★ 1 cited
Properties of Isoperimetric, Functional and Transport-Entropy Inequalities Via Concentration
Emanuel Milman
Various properties of isoperimetric, functional, Transport-Entropy and concentration inequalities are studied on a Riemannian manifold equipped with a measure, whose generalized Ri…
math.FA2009
A converse to Maz'ya's inequality for capacities under curvature lower bound
Emanuel Milman
We survey some classical inequalities due to Maz'ya relating isocapacitary inequalities with their functional and isoperimetric counterparts in a measure-metric space setting, and…