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

^*Corresponding author for this work

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

59 Citations (Scopus)

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 - 2005 Dec
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

Access to Document

10.1002/cpa.20091

Cite this

@article{fb0b3c379e5d4145943ec8b61ac30638,

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",

month = dec,

doi = "10.1002/cpa.20091",

language = "English",

volume = "58",

pages = "1642--1677",

journal = "Communications on Pure and Applied Mathematics",

issn = "0010-3640",

publisher = "Wiley-Liss Inc.",

number = "12",

}

TY - JOUR

T1 - Characterization of sub-gaussian heat kernel estimates on strongly recurrent graphs

AU - Barlow, Martin T.

AU - Coulhon, Thierry

AU - Kumagai, Takashi

PY - 2005/12

Y1 - 2005/12

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.

UR - http://www.scopus.com/inward/record.url?scp=29344454807&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=29344454807&partnerID=8YFLogxK

U2 - 10.1002/cpa.20091

DO - 10.1002/cpa.20091

M3 - Review article

AN - SCOPUS:29344454807

SN - 0010-3640

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

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this