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arXiv · 1209.0170

Heat Kernel Bounds for the Laplacian on Metric Graphs of Polygonal Tilings

René Pröpper
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Abstract

We obtain an upper heat kernel bound for the Laplacian on metric graphs arising as one skeletons of certain polygonal tilings of the plane, which reflects the one dimensional as well as the two dimensional nature of these graphs.

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René Pröpper. 2012-09-02. Heat Kernel Bounds for the Laplacian on Metric Graphs of Polygonal Tilings. https://doi.org/10.1007/s00233-012-9435-x

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