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math.MG2020
The Minkowski problem in the Gaussian probability space
Yong Huang, Dongmeng Xi, Yiming Zhao
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,…
math.MG2020
Affine Orlicz Pólya-Szegö principles and their equality cases
Youjiang Lin, Dongmeng Xi
The conjecture about the Orlicz Pólya-Szegö principle posed in [43] is proved. The cases of equality are characterized in the affine Orlicz Pólya-Szegö principle with respect to St…