{
  "id": "2209.12342",
  "version": "v1",
  "published": "2022-09-25T22:46:36.000Z",
  "updated": "2022-09-25T22:46:36.000Z",
  "title": "Hölder regularity of stationary measures",
  "authors": [
    "Anton Gorodetski",
    "Victor Kleptsyn",
    "Grigorii Monakov"
  ],
  "comment": "41 pages",
  "categories": [
    "math.DS",
    "math.PR"
  ],
  "abstract": "We consider smooth random dynamical systems defined by a distribution with a finite moment of the norm of the differential, and prove that under suitable non-degeneracy conditions any stationary measure must be H\\\"older continuous. The result is a vast generalization of the classical statement on H\\\"older continuity of stationary measures of random walks on linear groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-09-25T22:46:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37H05",
      "60B20"
    ],
    "keywords": [
      "stationary measure",
      "hölder regularity",
      "smooth random dynamical systems",
      "finite moment",
      "linear groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 41,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}