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arXiv · 1611.01059

Diffusion on Delone sets

Sebastian Haeseler·Xueping Huang·Daniel Lenz·Felix Pogorzelski
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Abstract

We consider graphs associated to Delone sets in Euclidean space. Such graphs arise in various ways from tilings. Here, we provide a unified framework. In this context, we study the associated Laplace operators and show Gaussian heat kernel bounds for their semigroups. These results apply to both metric and discrete graphs.

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Sebastian Haeseler, Xueping Huang, Daniel Lenz, Felix Pogorzelski. 2016-11-03. Diffusion on Delone sets. https://doi.org/10.1007/s10955-017-1779-x

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