Lior Alon

most citedNodal count for a random signing of a graph with disjoint cycles

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math-ph2024

Average Nodal Count and the Nodal Count Condition for Graphs

Lior Alon, John Urschel

The nodal edge count of an eigenvector of the Laplacian of a graph is the number of edges on which it changes sign. This quantity extends to any real symmetric $n \times n$ matrix s…

math-ph2024★ 1 cited

Nodal count for a random signing of a graph with disjoint cycles

Lior Alon, Mark Goresky

Let $G$ be a simple, connected graph on $n$ vertices, and further assume that $G$ has disjoint cycles. Let $h$ be a real symmetric matrix supported on $G$ (for example, a discrete…

math-ph2023

Gap distributions of Fourier quasicrystals via Lee-Yang polynomials

Lior Alon, Cynthia Vinzant

Recent work of Kurasov and Sarnak provides a method for constructing one-dimensional Fourier quasicrystals (FQ) from the torus zero sets of a special class of multivariate polynomi…