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arXiv · 2012.04531

Spaces of Lorentzian and real stable polynomials are Euclidean balls

Petter Brändén
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Abstract

We prove that projective spaces of Lorentzian and real stable polynomials are homeomorphic to closed Euclidean balls. This solves a conjecture of June Huh and the author. The proof utilizes and refines a connection between the symmetric exclusion process in Interacting Particle Systems and the geometry of polynomials.

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Petter Brändén. 2021-04-08. Spaces of Lorentzian and real stable polynomials are Euclidean balls. https://doi.org/10.1017/fms.2021.70

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