{
  "id": "1010.1572",
  "version": "v1",
  "published": "2010-09-13T10:53:39.000Z",
  "updated": "2010-09-13T10:53:39.000Z",
  "title": "Stationary distributions for jump processes with memory",
  "authors": [
    "Krzysztof Burdzy",
    "Tadeusz Kulczycki",
    "Rene Schilling"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We analyze a jump processes $Z$ with a jump measure determined by a \"memory\" process $S$. The state space of $(Z,S)$ is the Cartesian product of the unit circle and the real line. We prove that the stationary distribution of $(Z,S)$ is the product of the uniform probability measure and a Gaussian distribution.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-09-13T10:53:39.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "jump processes",
      "stationary distribution",
      "uniform probability measure",
      "state space",
      "jump measure"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1010.1572B"
    }
  }
}