A note on Bourgain-Milman's universal constant
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🧮 math.MG
math.DG
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brunn-minkowskiinequalitylogarithmicnotebodiesbourgain-milmanconstantconvex
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The present note is a result of an on-going investigation into the logarithmic Brunn-Minkowski inequality. We obtain lower estimates on the volume product for convex bodies in $\mathbb{R}^n$ not necessarily symmetric with respect to the origin from a modified logarithmic Brunn-Minkowski inequality.
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