{
  "id": "1708.01055",
  "version": "v1",
  "published": "2017-08-03T08:52:21.000Z",
  "updated": "2017-08-03T08:52:21.000Z",
  "title": "Parameter regularity of dynamical determinants of expanding maps of the circle and an application to linear response",
  "authors": [
    "Malo Jézéquel"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "In order to adapt to the differentiable setting a formula for linear response proved by Pollicott and Vytnova in the analytic setting, we show a result of regularity of dynamical determinants of expanding maps of the circle. The main tool is the decomposition of a transfer operator as a sum of a nuclear part and a \"small\" bounded part.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-08-03T08:52:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37C30"
    ],
    "keywords": [
      "linear response",
      "expanding maps",
      "dynamical determinants",
      "parameter regularity",
      "application"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}