Hambly, B. M. and Kumagai, T. (2003) Heat kernel estimates for symmetric random walks on a class of fractal graphs and stability under rough isometries,. Proceedings of Symposia in Pure Mathematics . (In Press)

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Abstract
We examine a class of fractal graphs which arise from a subclass of finitely ramified fractals. The twosided heat kernel estimates for these graphs are obtained in terms of an effective resistance metric and they are best possible up to constants. If the graph has symmetry, these estimates can be expressed as the usual Gaussian or subGaussian estimates. However, without symmetry, the offdiagonal terms show different decay in different directions. We also discuss the stability of the subGaussian heat kernel estimates under rough isometries.
Item Type:  Article 

Subjects:  O  Z > Probability theory and stochastic processes 
Research Groups:  Stochastic Analysis Group Oxford Centre for Industrial and Applied Mathematics 
ID Code:  111 
Deposited By:  Ben Hambly 
Deposited On:  04 Aug 2004 
Last Modified:  29 May 2015 18:16 
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