{
  "id": "math/0308193",
  "version": "v1",
  "published": "2003-08-20T13:35:55.000Z",
  "updated": "2003-08-20T13:35:55.000Z",
  "title": "A central limit theorem for Gibbs measures relative to Brownian motion",
  "authors": [
    "Volker Betz",
    "Herbert Spohn"
  ],
  "comment": "19 pages",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We study a Gibbs measure over Brownian motion with a pair potential which depends only on the increments. Assuming a particular form of this pair potential, we establish that in the infinite volume limit the Gibbs measure can be viewed as Brownian motion moving in a dynamic random environment. Thereby we are in a position to use the technique of Kipnis and Varadhan and to prove a functional central limit theorem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-08-20T13:35:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F17"
    ],
    "keywords": [
      "brownian motion",
      "gibbs measures relative",
      "functional central limit theorem",
      "pair potential",
      "infinite volume limit"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......8193B"
    }
  }
}