{
  "id": "1703.05722",
  "version": "v1",
  "published": "2017-03-16T17:05:24.000Z",
  "updated": "2017-03-16T17:05:24.000Z",
  "title": "Equilibrium states for Mañé diffeomorphisms",
  "authors": [
    "V. Climenhaga",
    "T. Fisher",
    "D. J. Thompson"
  ],
  "comment": "This work develops material that originally appeared in the first version of arxiv:1505.06371, originally titled 'Unique equilibrium states for the robustly transitive diffeomorphisms of Ma\\~n\\'e and Bonatti-Viana'. We split this material into two papers: arxiv:1505.06371 now treats the Bonatti-Viana class and general estimates; this article studies the Ma\\~n\\'e class. 27 pages, 1 figure",
  "categories": [
    "math.DS"
  ],
  "abstract": "We study thermodynamic formalism for the family of robustly transitive diffeomorphisms introduced by Ma\\~n\\'e, establishing existence and uniqueness of equilibrium states for natural classes of potential functions. In particular, we characterize the SRB measures for these diffeomorphisms as unique equilibrium states for a suitable geometric potential. We also obtain large deviations and multifractal results for the unique equilibrium states produced by the main theorem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-03-16T17:05:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37C40",
      "37A35",
      "37C15"
    ],
    "keywords": [
      "unique equilibrium states",
      "study thermodynamic formalism",
      "potential functions",
      "srb measures",
      "natural classes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}