3 problems

Let $\mathcal{L}$ be the Laplacian on the Sierpiński gasket, whose relevant Neumann eigenspace has multiplicity two, and consider eigenmaps arising from random graph approximations…

Resistance-form discretization conjecture. Numerically accurate locally uniform approximations to the Laplacian eigenmap can be obtained by discretizing the left- and right-hand si…

Let $\phi_k$ denote the $k^\text{th}$ eigenfunction of the Laplacian on $[-1,1]$, and let $\phi_{\epsilon,n,k}$ denote the $k^\text{th}$ eigenfunction of a graph Laplacian…