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pro vyhledávání: '"Nance, Ezra"'
Autor:
Hong, Hoon, Nance, Ezra
In this work we develop a novel recursive method for parametrizing the cone of copositive univariate polynomials of any arbitrary degree $d$. This parametrization is surjective, almost injective, and has the easily described domain of $(\mathbb{R}_{\
Externí odkaz:
http://arxiv.org/abs/2401.10866
Autor:
Hong, Hoon, Nance, Ezra
In this work we take a deep dive into the cone of copositive $3 \times 3$ matrices. In doing so we visualize the cone, make geometric observations about it, and prove them. We then use these observations to parametrize the set. In the process we run
Externí odkaz:
http://arxiv.org/abs/2401.06023
Autor:
DeVito, Jason, Nance, Ezra
Publikováno v:
International Mathematics Research Notices, Volume 2020, Issue 5, March 2020, Pages 1346-1365
A Riemannian manifold is said to be almost positively curved if the sets of points for which all $2$-planes have positive sectional curvature is open and dense. We show that the Grassmannian of oriented $2$-planes in $\mathbb{R}^7$ admits a metric of
Externí odkaz:
http://arxiv.org/abs/1707.07590
Akademický článek
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