# The spectrum of the abelian sandpile model.

@inproceedings{Hough2019TheSO, title={The spectrum of the abelian sandpile model.}, author={Robert M. Hough and Hyojeong Son}, year={2019} }

In their previous work, the authors studied the abelian sandpile model on graphs constructed from a growing piece of a plane or space tiling, given periodic or open boundary conditions, and identified spectral factors which govern the asymptotic spectral gap and asymptotic mixing time. This article gives a general method of determining the spectral factor either computationally or asymptotically and performs the determination in specific examples.

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