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most citedStability of the reverse Blaschke-Santalo inequality for unconditional convex bodies

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math.PR2015

On the Brunn-Minkowski inequality for general measures with applications to new isoperimetric-type inequalities

Galyna Livshyts, Arnaud Marsiglietti, Piotr Nayar +1

In this paper we present new versions of the classical Brunn-Minkowski inequality for different classes of measures and sets. We show that the inequality \[ μ(λA + (1-λ)B)^{1/n} \g…