|
|||||
|
|
Manifolds and graphs with slow heat kernel decay |
|
| Authors: | Martin Barlow Thierry Coulhon Alexander Grigor’yan |
| Institution: | (1) University of British Columbia, Vancouver, B.C., V6T 1Z2, Canada (e-mail: barlow@math.ubc.ca), CA;(2) Université de Cergy-Pontoise, 95302 Pontoise, France (e-mail: Thierry.Coulhon@math.u-cergy.fr), FR;(3) Imperial College, London SW7 2BZ, United Kingdom (e-mail: a.grigoryan@ic.ac.uk), GB |
| Abstract: | We give upper estimates on the long time behavior of the heat kernel on non-compact Riemannian manifolds and infinite graphs, which only depend on a lower bound of the volume growth. We also show that these estimates are sharp. Oblatum 23-VIII-1999 & 21-XII-2000?Published online: 5 March 2001 |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ | |