Graph approximations to the Laplacian spectra
Graph approximations to the Laplacian spectra
I prove that the spectrum of the LaplaceāBeltrami operator with the Neumann boundary condition on a compact Riemannian manifold with boundary admits a fast approximation by the spectra of suitable graph Laplacians on proximity graphs on the manifold, and similar graph approximation works for metric-measure spaces glued out of compact ā¦