{
  "id": "1811.04811",
  "version": "v1",
  "published": "2018-11-09T14:19:46.000Z",
  "updated": "2018-11-09T14:19:46.000Z",
  "title": "Spectral estimates for Ruelle operators with two parameters and sharp large deviations",
  "authors": [
    "Vesselin Petkov",
    "Luchezar Stoyanov"
  ],
  "comment": "arXiv admin note: substantial text overlap with arXiv:1409.0721",
  "categories": [
    "math.DS",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We obtain spectral estimates for the iterations of Ruelle operator $L_{f + (a + \\i b)\\tau + (c + \\i d) g}$ with two complex parameters and H\\\"{o}lder functions $f,\\: g$ generalizing the case $\\Pr(f) =0$ studied in [PeS2]. As an application we prove a sharp large deviation theorem concerning exponentially shrinking intervals which improves the result in [PeS1].",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-11-09T14:19:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37D20",
      "37D35",
      "37C30",
      "60F10"
    ],
    "keywords": [
      "ruelle operator",
      "spectral estimates",
      "large deviation theorem concerning",
      "parameters",
      "concerning exponentially shrinking intervals"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}