{
  "id": "math/0701095",
  "version": "v1",
  "published": "2007-01-03T13:53:32.000Z",
  "updated": "2007-01-03T13:53:32.000Z",
  "title": "A Law of Large Numbers for an Interacting Particle System with Confining Potential",
  "authors": [
    "Matteo Ortisi"
  ],
  "comment": "29 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "In this paper we consider an interacting particle system modeled as a system of $N$ stochastic differential equations driven by Brownian motions with a drift term including a confining potential acting on each particle, and an interaction potential modeling the interaction among all the particles of the system. The limiting behavior as the size $N$ grows to infinity is achieved as a law of large numbers for the empirical process associated with the interacting particle system",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-01-03T13:53:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82C22"
    ],
    "keywords": [
      "interacting particle system",
      "large numbers",
      "confining potential",
      "stochastic differential equations driven",
      "brownian motions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......1095O"
    }
  }
}