A note on heat kernel estimates on weighted graphs with two-sided bounds on the weights

We reconsider estimates for the heat kernel on weighted graphs recently found by Metzger and Stollmann. In the case that the weights satisfy a positive lower bound as well as a finite upper bound, we obtain a specialized
We reconsider estimates for the heat kernel on weighted graphs recently found by Metzger and Stollmann. In the case that the weights satisfy a positive lower bound as well as a finite upper bound, we obtain a specialized lower estimate and a proper generalization of a previous upper estimate. Reviews: Math. Rev. 1979406, Zbl. Math. 0934.46042
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Metadaten
Author:Andreas U. Schmidt
URN:urn:nbn:de:hebis:30-11382
Document Type:Article
Language:English
Date of Publication (online):2005/06/21
Year of first Publication:2002
Publishing Institution:Univ.-Bibliothek Frankfurt am Main
Release Date:2005/06/21
Tag:Heat kernel; Laplace operator on graphs
Source:Version of 10 February 2002, orig. publ. in: Applied Mathematics E-Notes 2 (2002) 25-28 , http://www.math.uni-frankfurt.de/~aschmidt/#eprints
HeBIS PPN:197141846
Institutes:Mathematik
Dewey Decimal Classification:510 Mathematik
MSC-Classification:39A12 Discrete version of topics in analysis
Sammlungen:Universitätspublikationen
Licence (German):License Logo Veröffentlichungsvertrag für Publikationen

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