2 papers
math.MG2026
The centered logarithmic Brunn--Minkowski inequality
Yude Liu, Qiang Sun, Ge Xiong
The logarithmic Brunn--Minkowski and logarithmic Minkowski inequalities are proved for convex bodies whose centroids are at the origin, with equality precisely for independent posi…
math.MG2024
A matroid polytope approach to sharp affine isoperimetric inequalities for volume decomposition functionals
Yu-de Liu, Qiang Sun, Ge Xiong
New sharp affine isoperimetric inequalities for volume decomposition functionals and in are established. To fulfil this task, we prove the recursion…