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

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	609-649
Number of pages	41
Journal	Inventiones Mathematicae
Volume	144
Issue number	3
DOIs	https://doi.org/10.1007/s002220100139
Publication status	Published - 1 Dec 2001
Externally published	Yes

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title = "Manifolds and graphs with slow heat kernel decay",

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.",

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JO - Inventiones Mathematicae

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Manifolds and graphs with slow heat kernel decay

Abstract

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