Diffusion on Delone sets
Spectral Theory
2017-04-26 v1 Dynamical Systems
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.
Cite
@article{arxiv.1611.01059,
title = {Diffusion on Delone sets},
author = {Sebastian Haeseler and Xueping Huang and Daniel Lenz and Felix Pogorzelski},
journal= {arXiv preprint arXiv:1611.01059},
year = {2017}
}
Comments
15 pages