{
  "id": "2203.11763",
  "version": "v1",
  "published": "2022-03-22T14:23:49.000Z",
  "updated": "2022-03-22T14:23:49.000Z",
  "title": "Relaxation in one-dimensional tropical sandpile",
  "authors": [
    "Mikhail Shkolnikov"
  ],
  "categories": [
    "math.CO",
    "nlin.AO"
  ],
  "abstract": "Relaxation in the tropical sandpile model is a process of deforming a tropical hypersurface towards a finite collection of points. We show that, in the one-dimensional case, a relaxation terminates after a finite number of steps. We present an experimental evidence suggesting that the number of such steps obeys a power law.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-03-22T14:23:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "one-dimensional tropical sandpile",
      "finite collection",
      "one-dimensional case",
      "relaxation terminates",
      "finite number"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}