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math.CO2021
Facet volumes of polytopes
Pavle V. M. Blagojević, Paul Breiding, Alexander Heaton
In this paper, motivated by the work of Edelman and Strang, we show that for fixed integers and the configuration space of all facet volume vectors of all …
math.AG2021★ 2 cited
Nonlinear Algebra and Applications
Paul Breiding, Türkü Özlüm Çelik, Timothy Duff +5
We showcase applications of nonlinear algebra in the sciences and engineering. Our review is organized into eight themes: polynomial optimization, partial differential equations, a…