{
  "id": "1503.02035",
  "version": "v1",
  "published": "2015-03-06T19:02:21.000Z",
  "updated": "2015-03-06T19:02:21.000Z",
  "title": "Large Deviation Principle for Interacting Brownian Motions",
  "authors": [
    "Insuk Seo"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We prove the Large Deviation Principle for the empirical process in a system of locally interacting Brownian motions in the nonequilibrium dynamic. Such a phenomenon has been proven only for two lattice systems: the symmetric simple exclusion process and zero-range process. Therefore, we have achieved the third result in this context and moreover the first result for the diffusion-type interacting particle system.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-03-06T19:02:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "large deviation principle",
      "interacting brownian motions",
      "symmetric simple exclusion process",
      "diffusion-type interacting particle system",
      "nonequilibrium dynamic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150302035S"
    }
  }
}