The Affine BV-capacity
T. Wang, J. Xiao
TL;DR
This paper introduces a new affine BV-capacity, a geometric measure concept that differs significantly from the classic BV-capacity in higher dimensions, expanding the understanding of affine geometric analysis.
Contribution
It presents the first study of the affine BV-capacity, highlighting its differences from the traditional BV-capacity in multi-dimensional settings.
Findings
Introduction of the affine BV-capacity concept
Comparison with classic BV-capacity in higher dimensions
Foundational properties of the affine BV-capacity
Abstract
This paper is devoted to a geometric-measure-theoretic study of the brand new affine BV-capacity which is essentially different from the classic BV-capacity in dimension greater than one.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsPoint processes and geometric inequalities · Mathematics and Applications · Advanced Differential Geometry Research