Heat Kernel and Essential Spectrum of Infinite Graphs
| dc.creator | Wojciechowski, Radoslaw K. | |
| dc.date | 2008-02-20 | |
| dc.date | 2008-04-24 | |
| dc.date.accessioned | 2026-07-07T09:34:12Z | |
| dc.date.available | 2026-07-07T09:34:12Z | |
| dc.description | We study the existence and uniqueness of the heat kernel on infinite, locally finite, connected graphs. For general graphs, a uniqueness criterion, shown to be optimal, is given in terms of the maximal valence on spheres about a fixed vertex. A sufficient condition for non-uniqueness is also presented. Furthermore, we give a lower bound on the bottom of the spectrum of the discrete Laplacian and use this bound to give a condition ensuring that the essential spectrum of the Laplacian is empty. | |
| dc.description | 18 pages, final version to appear in Indiana University Mathematics Journal | |
| dc.identifier | https://arxiv.org/abs/0802.2745 | |
| dc.identifier | http://arxiv.org/abs/0802.2745 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/159402 | |
| dc.subject | Spectral Theory | |
| dc.subject | Differential Geometry | |
| dc.subject | 39A12; 58J35 | |
| dc.title | Heat Kernel and Essential Spectrum of Infinite Graphs | |
| dc.type | text |