{
  "id": "2407.00344",
  "version": "v1",
  "published": "2024-06-29T07:16:54.000Z",
  "updated": "2024-06-29T07:16:54.000Z",
  "title": "Log-Hölder regularity of stationary measures",
  "authors": [
    "Grigorii Monakov"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We consider Lipschitz and H\\\"{o}lder continuous random dynamical systems defined by a distribution with a finite logarithmic moment. We prove that under suitable non-degeneracy conditions every stationary measure must be $\\log$-H\\\"{o}lder continuous.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-06-29T07:16:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37H05",
      "60B20"
    ],
    "keywords": [
      "stationary measure",
      "log-hölder regularity",
      "finite logarithmic moment",
      "continuous random dynamical systems",
      "suitable non-degeneracy conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}