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math.FA2020★ 1 cited
Geometry of log-concave functions: the Asplund sum and the Minkowski problem
Niufa Fang, Sudan Xing, Deping Ye
The aim of this paper is to develop a basic framework of the theory for the geometry of log-concave functions, which can be viewed as a functional "lifting" of the Brun…
math.FA2020★ 2 cited
On -Brunn-Minkowski type and -isoperimetric type inequalities for general measures
Michael Roysdon, Sudan Xing
In 2011 Lutwak, Yang and Zhang extended the definition of the -Minkowski convex combination () introduced by Firey in the 1960s from convex bodies containing the ori…