{
  "id": "1709.06594",
  "version": "v1",
  "published": "2017-09-19T18:23:41.000Z",
  "updated": "2017-09-19T18:23:41.000Z",
  "title": "A Destroying Driven Tagged Particle in Symmetric Simple Exclusion Processes",
  "authors": [
    "Zhe Wang"
  ],
  "comment": "18 pages, 4 figures",
  "categories": [
    "math.PR"
  ],
  "abstract": "We consider the symmetric simple exclusion processes with a destroying tagged particle on Z. In this process, untagged particles disappear once they jump to the left of a tagged particle. We investigate the behavior of the displacement of the tagged particle and prove limit theorems. Martingale arguments and regenerative structures are used with two auxiliary processes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-09-19T18:23:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K37",
      "82C22",
      "82C44"
    ],
    "keywords": [
      "symmetric simple exclusion processes",
      "destroying driven tagged particle",
      "auxiliary processes",
      "martingale arguments",
      "untagged particles disappear"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}