{
  "id": "1602.00261",
  "version": "v1",
  "published": "2016-01-31T15:36:52.000Z",
  "updated": "2016-01-31T15:36:52.000Z",
  "title": "Absolute continuity of Bernoulli convolutions for algebraic parameters",
  "authors": [
    "Péter P. Varjú"
  ],
  "comment": "42 pages",
  "categories": [
    "math.CA",
    "math.CO",
    "math.DS"
  ],
  "abstract": "We prove that Bernoulli convolutions are absolutely continuous provided the parameter lambda is an algebraic number sufficiently close to 1 depending on the Mahler measure of lambda.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-01-31T15:36:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bernoulli convolutions",
      "algebraic parameters",
      "absolute continuity",
      "algebraic number sufficiently close"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 42,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160200261V"
    }
  }
}