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math.MG2022★ 12 cited
On the Brunn-Minkowski theory and the Minkowski problem for -coconvex sets
Jin Yang, Deping Ye, Baocheng Zhu
Let be a pointed closed convex cone in with vertex at the origin and having nonempty interior. The set is -coconvex if the volume of is f…
math.MG2022
Ulam floating functions
Chunyan Liu, Elisabeth M. Werner, Deping Ye +1
We extend the notion of Ulam floating sets from convex bodies to Ulam floating functions. We use the Ulam floating functions to derive a new variational formula for the affine surf…