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

^*この研究の対応する著者

研究成果: Review article › 査読

64 被引用数 (Scopus)

抄録

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.

本文言語	English
ページ（範囲）	1642-1677
ページ数	36
ジャーナル	Communications on Pure and Applied Mathematics
巻	58
号	12
DOI	https://doi.org/10.1002/cpa.20091
出版ステータス	Published - 2005 12月
外部発表	はい

ASJC Scopus subject areas

数学 (全般)
応用数学

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10.1002/cpa.20091

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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",

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AU - Barlow, Martin T.

AU - Coulhon, Thierry

AU - Kumagai, Takashi

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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.

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M3 - Review article

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

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