A matroid polytope approach to sharp affine isoperimetric inequalities for volume decomposition functionals
Year: 2024
Type: preprint
Abstract: New sharp affine isoperimetric inequalities for volume decomposition functionals $X_{2}$ and $X_{3}$ in $\mathbb{R}^n$ are established. To fulfil this task, we prove the recursion formulas for volume decomposition functionals and find out the connection between the domains of these functionals and matroid polytopes. Applications of matroid theory to convex geometry are presented.
Source: arXiv (Cornell University)
Authors: Liu, Yu-de, Sun, Qiang, Xiong, Ge
Institution: Tongji University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Award: G3608157855
OpenAlex ID: W4394867796