Heat Kernel
On-Diagonal Heat Kernel, Level 4
The PDFs below show the slopes of the first somewhat linear portion of diagonal heat kernel log-log plots. (These are only somewhat linear locally, and nevertheless they are still nonlinear, as the residuals show.) The non-glued versions correspond to eigenfunctions with Dirichlet boundary conditions.
| Identification Type |
On-Diagonal Slopes |
| Torus |
PDF |
| Torus Glued |
PDF |
| Projective Plane |
PDF |
| Projective Plane Glued |
PDF |
| Klein Bottle (Horizontal) |
PDF |
| Kelin Bottle (Horizontal) Glued |
PDF |
Off-Diagonal Heat Kernel, Level 4
More information coming soon.
| Identification Type |
Horizontal & Vertical Line Plots |
Scatter Plots against Distances |
| Torus |
PDF |
PDF |
| Torus Glued |
PDF |
PDF |
| Projective Plane |
PDF |
PDF |
| Projective Plane Glued |
PDF |
PDF |
| Klein Bottle (Horizontal) |
PDF |
PDF |
| Kelin Bottle (Horizontal) Glued |
PDF |
PDF |
