The Minkowski problem in Gaussian probability space

The Minkowski problem in Gaussian probability space
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DOI:
10.1016/j.aim.2021.107769
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发表时间:
2020-10
影响因子:
1.7
通讯作者:
Yong Huang;Dongmeng Xi;Yiming Zhao
Yong Huang;Dongmeng Xi;Yiming Zhao
中科院分区:
数学1区
文献类型:
--
作者:
Yong Huang;Dongmeng Xi;Yiming Zhao

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研究了高斯概率空间中的Minkowski问题。除了提供这个问题的高斯体积归一化版本的存在性结果之外,当前工作的主要目标是提供高斯Minkowski问题的唯一性和存在性结果(不需要归一化)。
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).