The Minkowski problem in the Gaussian probability space

Yong Huang; Dongmeng Xi; Yiming Zhao

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arXiv · 2010.00395

The Minkowski problem in the Gaussian probability space

Yong Huang·Dongmeng Xi·Yiming Zhao

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Abstract

The Minkowski problem in Gaussian probability space is studied in this paper. In addition to providing an existence result on a Gaussian-volume-normalized version of this problem, the main goal of the current work is to provide uniqueness and existence results on the Gaussian Minkowski problem (with no normalization required).

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Yong Huang, Dongmeng Xi, Yiming Zhao. 2020-10-09. The Minkowski problem in the Gaussian probability space. https://arxiv.org/abs/2010.00395

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