{
  "id": "0803.1943",
  "version": "v1",
  "published": "2008-03-13T10:46:43.000Z",
  "updated": "2008-03-13T10:46:43.000Z",
  "title": "The generic points for the horocycle flow on a class of hyperbolic surfaces with infinite genus",
  "authors": [
    "Omri Sarig",
    "Barbara Schapira"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "A point is called generic for a flow preserving an infinite ergodic invariant Radon measure, if its orbit satisfies the conclusion of the ratio ergodic theorem for every pair of continuous functions with compact support and non-zero integrals. The generic points for horocycle flows on hyperbolic surfaces of finite genus are understood, but there are no results in infinite genus. We give such a result, by characterizing the generic points for $\\Z^d$--covers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-03-13T10:46:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A40",
      "37A17",
      "37D40"
    ],
    "keywords": [
      "generic points",
      "infinite genus",
      "horocycle flow",
      "hyperbolic surfaces",
      "infinite ergodic invariant radon measure"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0803.1943S"
    }
  }
}