Positroids have the Rayleigh property

Abstract

The Rayleigh property is a negative correlation property of electrical networks, which was generalized to matroids by Choe and Wagner. We prove that positroids, a class of matroid introduced by Postnikov which have seen many recent applications in both math and physics, have the Rayleigh property.

arXiv comment9 pages

References in corpus (4)

• Total positivity, Grassmannians, and networks
• Polynomials with the half-plane property and matroid theory
• Lattice path matroids: enumerative aspects and Tutte polynomials
• Lattice Path Matroids: Negative Correlation and Fast Mixing