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arxiv: 1611.03583 · v1 · pith:CTICBXKBnew · submitted 2016-11-11 · 🧮 math.CO

Positroids have the Rayleigh property

classification 🧮 math.CO
keywords propertyrayleighpositroidsapplicationschoeclasscorrelationelectrical
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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.

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  1. Order polytopes of generalized snake posets are $h^*$-real-rooted

    math.CO 2026-07 unverdicted novelty 6.0

    Proves the conjecture that Ehrhart h*-polynomials of order polytopes of generalized snake posets are real-rooted by connecting them to non-nesting rook polynomials.