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arXiv · 1905.07015

The spectrum of the abelian sandpile model

Robert Hough·Hyojeong Son
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Abstract

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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Robert Hough, Hyojeong Son. 2019-05-16. The spectrum of the abelian sandpile model. https://doi.org/10.1090/mcom/3565

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