Characterization of sub-gaussian heat kernel estimates on strongly recurrent graphs

Martin T. Barlow; Thierry Coulhon; Takashi Kumagai

doi:10.1002/cpa.20091

Characterization of sub-gaussian heat kernel estimates on strongly recurrent graphs

Martin T. Barlow
, Thierry Coulhon
, Takashi Kumagai

Research output: Contribution to journal › Review article › peer-review

Abstract

Sub-Gaussian estimates for random walks are typical of fractal graphs. We characterize them in the strongly recurrent case, in terms of resistance estimates only, without assuming elliptic Harnack inequalities.

Original language	English
Pages (from-to)	1642-1677
Number of pages	36
Journal	Communications on Pure and Applied Mathematics
Volume	58
Issue number	12
DOIs	https://doi.org/10.1002/cpa.20091
Publication status	Published - 1 Dec 2005
Externally published	Yes

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title = "Characterization of sub-gaussian heat kernel estimates on strongly recurrent graphs",

abstract = "Sub-Gaussian estimates for random walks are typical of fractal graphs. We characterize them in the strongly recurrent case, in terms of resistance estimates only, without assuming elliptic Harnack inequalities.",

author = "Barlow, \{Martin T.\} and Thierry Coulhon and Takashi Kumagai",

year = "2005",

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doi = "10.1002/cpa.20091",

language = "English",

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journal = "Communications on Pure and Applied Mathematics",

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AU - Barlow, Martin T.

AU - Coulhon, Thierry

AU - Kumagai, Takashi

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Y1 - 2005/12/1

N2 - Sub-Gaussian estimates for random walks are typical of fractal graphs. We characterize them in the strongly recurrent case, in terms of resistance estimates only, without assuming elliptic Harnack inequalities.

AB - Sub-Gaussian estimates for random walks are typical of fractal graphs. We characterize them in the strongly recurrent case, in terms of resistance estimates only, without assuming elliptic Harnack inequalities.

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DO - 10.1002/cpa.20091

M3 - Review article

AN - SCOPUS:29344454807

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VL - 58

SP - 1642

EP - 1677

JO - Communications on Pure and Applied Mathematics

JF - Communications on Pure and Applied Mathematics

IS - 12

ER -

Characterization of sub-gaussian heat kernel estimates on strongly recurrent graphs

Abstract

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