{
  "id": "1502.04440",
  "version": "v1",
  "published": "2015-02-16T06:49:33.000Z",
  "updated": "2015-02-16T06:49:33.000Z",
  "title": "Ergodicity and fluctuations of a fluid particle driven by diffusions with jumps",
  "authors": [
    "Guodong Pang",
    "Nikola Sandrić"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "In this paper, we study the long-time behavior of a fluid particle immersed in a turbulent fluid driven by a diffusion with jumps, that is, a Feller process associated with a non-local operator. We derive the law of large numbers and central limit theorem for the evolution process of the tracked fluid particle in the cases when the driving process: (i) has periodic coefficients, (ii) is ergodic or (iii) is a class of L\\'evy processes. The presented results generalize the classical and well-known results for fluid flows driven by elliptic diffusion processes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-02-16T06:49:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F17",
      "60G17",
      "60J75"
    ],
    "keywords": [
      "fluid particle driven",
      "fluctuations",
      "ergodicity",
      "turbulent fluid driven",
      "fluid flows driven"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}