{
  "id": "1707.05401",
  "version": "v1",
  "published": "2017-07-17T21:41:10.000Z",
  "updated": "2017-07-17T21:41:10.000Z",
  "title": "Classification of random circle homeomorphisms up to topological conjugacy",
  "authors": [
    "Thai Son Doan",
    "Jeroen S. W. Lamb",
    "Julian Newman",
    "Martin Rasmussen"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We provide a classification of random orientation-preserving homeomorphisms of $\\mathbb{S}^1$, up to topological conjugacy of the random dynamical systems generated by i.i.d. iterates of the random homeomorphism. This classification covers all random circle homeomorphisms for which the noise space is a connected Polish space and an additional extremely weak condition is satisfied.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-07-17T21:41:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37H10"
    ],
    "keywords": [
      "random circle homeomorphisms",
      "topological conjugacy",
      "additional extremely weak condition",
      "random dynamical systems",
      "noise space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}