{
  "id": "2412.06423",
  "version": "v1",
  "published": "2024-12-09T12:01:56.000Z",
  "updated": "2024-12-09T12:01:56.000Z",
  "title": "Equilibrium states for geometric potentials",
  "authors": [
    "Nicolás Arévalo H"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We establish the existence of equilibrium states for geometric potentials in a family of piecewise weakly convex interval maps. This family includes systems with indifferent fixed points and non-Markov partitions. Under specific conditions, we also prove the uniqueness of equilibrium states.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-12-09T12:01:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37D35",
      "37D25",
      "37E05"
    ],
    "keywords": [
      "equilibrium states",
      "geometric potentials",
      "piecewise weakly convex interval maps",
      "specific conditions",
      "indifferent fixed points"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}