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 lower estimate and a proper generalization of a previous upper estimate. Reviews: Math. Rev. 1979406, Zbl. Math. 0934.46042
Author:Andreas U. SchmidtGND
Document Type:Article
Year of Completion:2002
Year of first Publication:2002
Publishing Institution:Universit├Ątsbibliothek Johann Christian Senckenberg
Release Date:2005/06/21
Tag:Heat kernel; Laplace operator on graphs
Page Number:4
First Page:1
Last Page:4
Aktualisierte Fassung, zuerst erschienen in: Applied mathematics e-notes, 2.2002, S. 25-28
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
Institutes:Informatik und Mathematik / Mathematik
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
MSC-Classification:39-XX DIFFERENCE AND FUNCTIONAL EQUATIONS / 39Axx Difference equations (For dynamical systems, see 37-XX, for dynamic equations on time scales, see 34N05) / 39A12 Discrete version of topics in analysis
Licence (German):License LogoDeutsches Urheberrecht