Graph curvature and Laplacian operators form a vibrant area of research at the intersection of differential geometry and graph theory. The concept of graph curvature, inspired by classical Ricci ...

This is a preview. Log in through your library . Abstract ABSTRACT. We introduce the boundary integral operator induced from the fractional Laplace equation on the boundary of a bounded smooth domain.

Let M be a compact Riemannian submanifold of Rm of dimension d and let X1,..., Xn be a sample of i.i.d. points in M with uniform distribution. We study the random operators $\delta ...