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A letter: The log-Brunn-Minkowski inequality for complex bodies

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arxiv 1412.5321 v1 pith:RFYOBTLG submitted 2014-12-17 math.MG math.FA

Liran Rotem This is my paper · ORCID
classification math.MGmath.FA
keywords complexbodiesconjecturelog-brunn-minkowskiappealingconvexcordero-erausquincorrect
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In this short note we explain why the log-Brunn-Minkowski conjecture is correct for complex convex bodies. We do this by relating the conjecture to the notion of complex interpolation, and appealing to a general theorem by Cordero-Erausquin.

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  1. The uniqueness and non-uniqueness of solutions to the even dual Minkowski problem

    math.AP 2026-08 accept novelty 8.0 of 10

    In the plane, for 0<q<2, equal dual curvature measures force origin-symmetric convex bodies to coincide; for q>n in R^n, distinct origin-symmetric bodies can share the same dual curvature measure.

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