The Minkowski problem in Gaussian probability space

By Yong Huang, Dongmeng Xi, Yiming Zhao. Advances in Mathematics, 2020

91 citations recorded by the source corpus.

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).

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/3dfbed33465e5bddd18727bf257bbffbe5198849