Diffusion on Delone sets

Daniel Lenz; Felix Pogorzelski; Sebastian Haeseler; Xueping Huang

arxiv: 1611.01059 · v1 · pith:4OJACRFNnew · submitted 2016-11-03 · 🧮 math.SP · math.DS

Diffusion on Delone sets

Sebastian Haeseler , Xueping Huang , Daniel Lenz , Felix Pogorzelski This is my paper

classification 🧮 math.SP math.DS

keywords graphsassociateddelonesetsapplyariseboundsconsider

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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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Diffusion on Delone sets

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