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math-ph2022
Morse theory for discrete magnetic operators and nodal count distribution for graphs
Lior Alon, Mark Goresky
Given a discrete Schrödinger operator on a finite connected graph of vertices, the nodal count denotes the number of edges on which the -th eigenvector chan…
math.CO2022★ 2 cited
Generic Laplace eigenfunctions on metric graphs
Lior Alon
It is known that up to certain pathologies, a compact metric graph with standard vertex conditions has a Baire-generic set of choices of edge lengths such that all Laplacian eigenv…