Diffusion on Delone sets

作者:Haeseler, Sebastian; Huang, Xueping; Lenz, Daniel*; Pogorzelski, Felix
来源:Journal of Statistical Physics, 2017, 167(6): 1496-1510.
DOI:10.1007/s10955-017-1779-x

摘要

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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