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Dual curvature measures for log-concave functions

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arxiv 2210.02359 v2 pith:OEJMPNEF submitted 2022-10-05 math.MG

Yong Huang , Jiaqian Liu , Dongmeng Xi , Yiming Zhao This is my paper · ORCID
classification math.MG
keywords curvaturedualmeasuresfunctionslog-concaveassociatedbodiescase
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We introduce dual curvature measures for log-concave functions, which in the case of characteristic functions recover the dual curvature measures for convex bodies introduced by Huang-Lutwak-Yang-Zhang in 2016. Variational formulas are shown. The associated Minkowski problem for these dual curvature measures is considered and sufficient conditions in the symmetric setting are demonstrated.

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