cycle intersection form 1graph eigenfunctions 1magnetic Schrödinger operator 1nodal domains 1oscillation theory 1
From the 1 of 2 linked papers with an AI index.
2 papers
math.SP2026
Cycle intersection form and oscillation of graph eigenfunctions
Gregory Berkolaiko, Jared C. Bronski, Mark Goresky
The paper relates the inertia of a weighted cycle‑intersection form, built from a non‑zero eigenvector of a graph‑supported symmetric matrix, to oscillation properties such as sign…
math-ph2025
Smooth critical points of eigenvalues on the torus of magnetic perturbations of graphs
Lior Alon, Gregory Berkolaiko, Mark Goresky
Motivated by the nodal distribution universality conjecture for discrete operators on graphs and by the spectral analysis of their maximal abelian covers, we consider a family of H…