English

The Minkowski problem in the Gaussian probability space

Metric Geometry 2020-10-12 v2

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).

Cite

@article{arxiv.2010.00395,
  title  = {The Minkowski problem in the Gaussian probability space},
  author = {Yong Huang and Dongmeng Xi and Yiming Zhao},
  journal= {arXiv preprint arXiv:2010.00395},
  year   = {2020}
}

Comments

updated introduction and bibliography

R2 v1 2026-06-23T18:56:09.354Z