{
  "id": "1401.4206",
  "version": "v2",
  "published": "2014-01-17T00:10:30.000Z",
  "updated": "2014-11-07T00:59:22.000Z",
  "title": "Speed of convergence for laws of rare events and escape rates",
  "authors": [
    "Ana Cristina Moreira Freitas",
    "Jorge Milhazes Freitas",
    "Mike Todd"
  ],
  "categories": [
    "math.DS",
    "math.PR"
  ],
  "abstract": "We obtain error terms on the rate of convergence to Extreme Value Laws for a general class of weakly dependent stochastic processes. The dependence of the error terms on the `time' and `length' scales is very explicit. Specialising to data derived from a class of dynamical systems we find even more detailed error terms, one application of which is to consider escape rates through small holes in these systems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-01-17T00:10:30.000Z",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2014-11-07T00:59:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A50",
      "60G70",
      "37B20",
      "60G10",
      "37C25"
    ],
    "keywords": [
      "escape rates",
      "rare events",
      "convergence",
      "extreme value laws",
      "weakly dependent stochastic processes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1401.4206M"
    }
  }
}