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Asymptotic Behavior of Skew Conditional Heat Kernels on Graph Networks

Published online by Cambridge University Press:  20 November 2018

Tatsuya Okada
Tatsuya Okada*
Affiliation:
Department of Mathematics and Statistics, Fukushima Medical College, 1 Hikarigaoka, Fukushima, 960-12, Japan
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Abstract

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In this note, we will consider the heat propagation on locally finite graph networks which satisfy a skew condition on vertices (See Definition of Section 2). For several periodic models, we will construct the heat kernels Pt with the skew condition explicitly, and derive the decay order of Pt as time goes to infinity.

Keywords

58G1168E10
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 45 , Issue 4 , 01 August 1993 , pp. 863 - 878
Copyright
Copyright © Canadian Mathematical Society 1993

References

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