{
  "id": "1903.00794",
  "version": "v1",
  "published": "2019-03-02T23:55:02.000Z",
  "updated": "2019-03-02T23:55:02.000Z",
  "title": "Tropical Dynamics of Area-Preserving Maps",
  "authors": [
    "Simion Filip"
  ],
  "comment": "58 pages, 15 figures. Accepted, Journal of Modern Dynamics",
  "categories": [
    "math.DS",
    "math.AG"
  ],
  "abstract": "We consider a class of area-preserving, piecewise affine maps on the 2-sphere. These maps encode degenerating families of K3 surface automorphisms and are profitably studied using techniques from tropical and Berkovich geometries.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-03-02T23:55:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37E30",
      "37P50",
      "14T05"
    ],
    "keywords": [
      "area-preserving maps",
      "tropical dynamics",
      "maps encode degenerating families",
      "k3 surface automorphisms",
      "piecewise affine maps"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 58,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}