{
  "id": "2207.06992",
  "version": "v1",
  "published": "2022-07-14T15:20:54.000Z",
  "updated": "2022-07-14T15:20:54.000Z",
  "title": "Limit sets of unfolding paths in Outer space",
  "authors": [
    "Mladen Bestvina",
    "Radhika Gupta",
    "Jing Tao"
  ],
  "comment": "30 pages",
  "categories": [
    "math.GR",
    "math.DS",
    "math.GT"
  ],
  "abstract": "We construct an unfolding path in Outer space which does not converge in the boundary, and instead it accumulates on the entire 1-simplex of projectivized length measures on a non-geometric arational $\\mathbb{R}$-tree T. We also show that T admits exactly two dual ergodic projective currents.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-07-14T15:20:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F65",
      "20E08",
      "57M60",
      "20E36"
    ],
    "keywords": [
      "outer space",
      "unfolding path",
      "limit sets",
      "dual ergodic projective currents",
      "projectivized length measures"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}