{
  "id": "0704.2199",
  "version": "v4",
  "published": "2007-04-17T17:00:46.000Z",
  "updated": "2008-02-19T16:40:29.000Z",
  "title": "Equilibrium states for interval maps: the potential $-t\\log |Df|$",
  "authors": [
    "Henk Bruin",
    "Mike Todd"
  ],
  "journal": "Ann. Sci. Ecole Norm. Sup. (4) 42 (2009) 559-600.",
  "categories": [
    "math.DS"
  ],
  "abstract": "Let $f:I \\to I$ be a $C^2$ multimodal interval map satisfying polynomial growth of the derivatives along critical orbits. We prove the existence and uniqueness of equilibrium states for the potential $\\phi_t:x\\mapsto -t\\log|Df(x)|$ for $t$ close to 1, and also that the pressure function $t \\mapsto P(\\phi_t)$ is analytic on an appropriate interval near $t = 1$.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2008-02-19T16:40:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37D35",
      "37D25",
      "37E05"
    ],
    "keywords": [
      "equilibrium states",
      "multimodal interval map satisfying polynomial",
      "interval map satisfying polynomial growth",
      "appropriate interval",
      "pressure function"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0704.2199B"
    }
  }
}