Proves that every log-concave measure satisfies the dimensional Brunn-Minkowski inequality for symmetric convex sets with exponent c_n at least n^{-4-o(1)}.
Ehrhard, Elements extremaux pour les in´ egalit´ es de Brunn-Minkowski Gaussiennes, Ann
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A universal bound in the dimensional Brunn-Minkowski inequality for log-concave measures
Proves that every log-concave measure satisfies the dimensional Brunn-Minkowski inequality for symmetric convex sets with exponent c_n at least n^{-4-o(1)}.