{
  "id": "2210.05500",
  "version": "v1",
  "published": "2022-10-11T14:55:52.000Z",
  "updated": "2022-10-11T14:55:52.000Z",
  "title": "Phase transitions for nonsingular Bernoulli actions",
  "authors": [
    "Tey Berendschot"
  ],
  "comment": "27 pages. Comments are welcome!",
  "categories": [
    "math.DS",
    "math.OA"
  ],
  "abstract": "Inspired by the phase transition results for nonsingular Gaussian actions introduced in arXiv:1911.04272 [math.DS], we prove several phase transition results for nonsingular Bernoulli actions. For generalized Bernoulli actions arising from groups acting on trees, we are able to give a very precise description of its ergodic theoretical properties in terms of the Poincar\\'e exponent of the group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-10-11T14:55:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A40"
    ],
    "keywords": [
      "nonsingular bernoulli actions",
      "phase transition results",
      "nonsingular gaussian actions",
      "poincare exponent",
      "ergodic theoretical properties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}