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math.AG2021★ 6 cited
Linear Principal Minor Polynomials: Hyperbolic Determinantal Inequalities and Spectral Containment
Grigoriy Blekherman, Mario Kummer, Raman Sanyal +2
A linear principal minor polynomial or lpm polynomial is a linear combination of principal minors of a symmetric matrix. By restricting to the diagonal, lpm polynomials are in bije…
math.CO2021
Fan Valuations and spherical intrinsic volumes
Spencer Backman, Sebastian Manecke, Raman Sanyal
We generalize valuations on polyhedral cones to valuations on fans. For fans induced by hyperplane arrangements, we show a correspondence between rotation-invariant valuations and…