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math.AP2026
Minkowski problem and Brunn-Minkowski inequality for dual quermassintegrals
Xiaojuan Chen, Shengyu Tang, Sinan Wang
This paper studies the core problems in the dual Brunn-Minkowski theory, encompassing the Minkowski problem and Brunn-Minkowski inequality for dual quermassintegr…
math.AP2026
The Weighted Minkowski Problem
Dylan Langharst, Jiaqian Liu, Shengyu Tang
The Minkowski problem in convex geometry concerns showing that a given Borel measure on the unit sphere is, up to perhaps a constant, some type of surface area measure of a convex…
math.AP2024
The Generalized Gaussian Minkowski Problem
Jiaqian Liu, Shengyu Tang
This article delves into the Minkowski problem within the framework of generalized Gaussian probability space. This type of probability space was initially introduced in info…