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math.AP2026
Spectral Convergence of the Discrete Steklov Problem
Andrew Lyons
We study the eigenvalues and eigenvectors of the Schur complement of the graph Laplacian, defined on vertices sampled from a domain with boundary. We use a thin…
math.AP2026
Nodal Deficiency of Neumann Eigenfunctions on a Symmetric Dumbbell Domain
Thomas Beck, Andrew Lyons
We study the nodal deficiency of pairs of Neumann eigenfunctions defined over symmetric dumbbell domains. As the width of the connecting neck shrinks, these eigenfunctions converge…