cycle intersection form 1graph eigenfunctions 1magnetic Schrödinger operator 1nodal domains 1oscillation theory 1
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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.SP2026
The Evans function as a lower bound on the spectral distance function
George Bayliss, Jared C. Bronski
The Evans function is an analytic function that encodes information about the intersection of certain subspaces in ODE boundary value problems. As such it is a useful tool for comp…