A new valuation on polyhedral cones
Hailun Zheng, and Micha{\l} Zydor
TL;DR
This paper introduces a novel valuation framework for polyhedral cones, mapping them to bounded polyhedra, which advances the mathematical understanding of their structural properties.
Contribution
The paper presents a new family of valuations on polyhedral cones valued in the space of bounded polyhedra, expanding valuation theory.
Findings
Defines a new valuation family for polyhedral cones
Establishes properties of the valuation in the polyhedral context
Provides potential applications in geometric and combinatorial analysis
Abstract
We define a new family of valuations on polyhedral cones valued in the space of bounded polyhedra.
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 · Holomorphic and Operator Theory · Analytic and geometric function theory