Heat kernels on Euclidean complexes
| dc.creator | Pivarski, Melanie | |
| dc.date | 2008-01-21 | |
| dc.date.accessioned | 2026-07-07T08:55:32Z | |
| dc.date.available | 2026-07-07T08:55:32Z | |
| dc.description | In this thesis we describe a type of metric space called an Euclidean polyhedral complex. We define a Dirichlet form on it; this is used to give a corresponding heat kernel. We provide a uniform small time Poincare inequality for complexes with bounded geometry and use this to determine uniform small time heat kernel bounds via a theorem of Sturm. We then consider such complexes with an underlying finitely generated group structure. We use techniques of Saloff-Coste and Pittet to show a large time asymptotic equivalence for the heat kernel on the complex and the heat kernel on the group. | |
| dc.description | 123 pages, 9 figures Ph.D. Dissertation Cornell University, 2006 | |
| dc.identifier | https://arxiv.org/abs/0801.3038 | |
| dc.identifier | http://arxiv.org/abs/0801.3038 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/146300 | |
| dc.subject | Metric Geometry | |
| dc.subject | 58J35 (Primary) 60B15, 31C, 28A (Secondary) | |
| dc.title | Heat kernels on Euclidean complexes | |
| dc.type | text |