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arXiv · 2210.02359

Dual curvature measures for log-concave functions

Yong Huang·Jiaqian Liu·Dongmeng Xi·Yiming Zhao
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Abstract

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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Yong Huang, Jiaqian Liu, Dongmeng Xi, Yiming Zhao. 2022-10-05. Dual curvature measures for log-concave functions. https://arxiv.org/abs/2210.02359

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