{
  "id": "1905.07015",
  "version": "v1",
  "published": "2019-05-16T20:04:53.000Z",
  "updated": "2019-05-16T20:04:53.000Z",
  "title": "The spectrum of the abelian sandpile model",
  "authors": [
    "Robert Hough",
    "Hyojeong Son"
  ],
  "comment": "This is the second part of the original manuscript arXiv:1902.04174, which contains numerical calculation of the spectral factors",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-05-16T20:04:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "abelian sandpile model",
      "asymptotic spectral gap",
      "open boundary conditions",
      "asymptotic mixing time",
      "general method"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}