Spaces of Lorentzian and real stable polynomials are Euclidean balls

DOI10.1017/fms.2021.70zbMath1485.52010arXiv2012.04531OpenAlexW3212992884WikidataQ114118414 ScholiaQ114118414MaRDI QIDQ5018883

Petter Brändén

Publication date: 27 December 2021

Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.04531

zbMATH Keywords

Euclidean ballstable polynomialsymmetric exclusion processLorentzian polynomial

Mathematics Subject Classification ID

Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) (52B40) Continuous-time Markov processes on discrete state spaces (60J27) Combinatorial aspects of algebraic geometry (05E14)

Related Items (2)

Combinatorics and Hodge theory ⋮ Gradient flows, adjoint orbits, and the topology of totally nonnegative flag varieties

Cites Work

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• The Lee--Yang and Pólya--Schur programs. I: Linear operators preserving stability
• The totally nonnegative part of \(G/P\) is a ball
• Regularity theorem for totally nonnegative flag varieties
• Lorentzian polynomials
• Multivariate stable polynomials: theory and applications
• Negative dependence and the geometry of polynomials
• The Lee‐Yang and Pólya‐Schur programs. II. Theory of stable polynomials and applications
• On multivariate Newton-like inequalities
• Discrete Convex Analysis
• Log-concave polynomials II: high-dimensional walks and an FPRAS for counting bases of a matroid
• Ramanujan Graphs and the Solution of the Kadison-Singer Problem
• A Note on Hyperbolic Polynomials.
• The totally nonnegative Grassmannian is a ball

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