3 papers
math.DG2026
Remarks on the relative isoperimetric profile of polygonal domains in
Jason DeVito, Robert DeYeso, Ezra Nance +1
We develop techniques for solving the relative isoperimetric problem on polygonal domains in , with special attention paid to corners. As an application, we solve the…
math.OC2024
Almost Bijective Parametrization of Copositive Univariate Polynomials
Hoon Hong, Ezra Nance
In this work we develop a novel recursive method for parametrizing the cone of copositive univariate polynomials of any arbitrary degree . This parametrization is surjective, al…
math.OC2024
Almost Bijective Parametrization of Copositive Matrices
Hoon Hong, Ezra Nance
In this work we take a deep dive into the cone of copositive matrices. In doing so we visualize the cone, make geometric observations about it, and prove them. We then…