The spectrum of the abelian sandpile model
arXiv:1905.07015 · doi:10.1090/mcom/3565
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.
arXiv commentThis is the second part of the original manuscript arXiv:1902.04174, which contains numerical calculation of the spectral factors
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