Corpus ID: 158046663

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}
}
  • Robert M. Hough, Hyojeong Son
  • Published 2019
  • Mathematics, Physics
  • 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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    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 34 REFERENCES

    Growing sandpile problem with Dirichlet and Fourier boundary conditions.

    • Nassouri, Estelle, Stanislas Ouaro, Urbain Traore
    • Electronic Journal of Differential Equations
    • 2017
    VIEW 1 EXCERPT

    Driving sandpiles to criticality and beyond.

    VIEW 1 EXCERPT