Abstract
We show that eigenvalues and eigenfunctions of the Laplace-Beltrami operator on a Riemannian manifold are approximated by eigenvalues and eigenvectors of a (suitably weighted) graph Laplace operator of a proximity graph on an epsilon-net.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 675-714 |
| Number of pages | 40 |
| Journal | Journal of Spectral Theory |
| Volume | 4 |
| Issue number | 4 |
| DOIs | |
| State | Published - 2014 |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics
- Geometry and Topology