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)}.
Livshyts: On a conjectural symmetric version of Ehrhard’s inequality
2 Pith papers cite this work. Polarity classification is still indexing.
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Characterizes equality cases in Liakopoulos's generalized dual Loomis-Whitney volume estimate using equality cases from Barthe's reverse Brascamp-Lieb inequality.
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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)}.
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Equality in Liakopoulos's generalized dual Loomis-Whitney inequality via Barthe's Reverse Brascamp-Lieb inequality
Characterizes equality cases in Liakopoulos's generalized dual Loomis-Whitney volume estimate using equality cases from Barthe's reverse Brascamp-Lieb inequality.