{
  "id": "2211.03908",
  "version": "v1",
  "published": "2022-11-07T23:32:02.000Z",
  "updated": "2022-11-07T23:32:02.000Z",
  "title": "Some apects of thermodinamic formalism of piecewise of smooth vector fields",
  "authors": [
    "Marco A. C. Florentino",
    "Tiago Carvalho",
    "Jeferson Cassiano"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "In this paper we study some aspects of thermodynamic formalism, more specifically topological pressure and, as a consequence, topological entropy for piecewise smooth vector fields, using topological conjugation with shift maps and the Perron- Frobenius Operator. Some relationships between entropy and Hausdorff dimensions are also investigated.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-11-07T23:32:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "thermodinamic formalism",
      "piecewise smooth vector fields",
      "thermodynamic formalism",
      "shift maps",
      "frobenius operator"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}