Manifolds and graphs with slow heat kernel decay

Martin Barlow; Thierry Coulhon; Alexander Grigor'yan

doi:10.1007/s002220100139

Manifolds and graphs with slow heat kernel decay

Martin Barlow
, Thierry Coulhon
, Alexander Grigor'yan

University of British Columbia
CY Cergy Paris Université
Imperial College London

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

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.

langue originale	Anglais
Pages (de - à)	609-649
Nombre de pages	41
journal	Inventiones Mathematicae
Volume	144
Numéro de publication	3
Les DOIs	https://doi.org/10.1007/s002220100139
état	Publié - 1 déc. 2001
Modification externe	Oui

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10.1007/s002220100139

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Manifolds and graphs with slow heat kernel decay

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