{
  "id": "1612.01004",
  "version": "v1",
  "published": "2016-12-03T18:41:30.000Z",
  "updated": "2016-12-03T18:41:30.000Z",
  "title": "Equilibrium fluctuations for the slow boundary exclusion process",
  "authors": [
    "Tertuliano Franco",
    "Adriana Neumann",
    "Patrícia Gonçalves"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We prove that the equilibrium fluctuations of the symmetric simple exclusion process in contact with slow boundaries is given by an Ornstein-Uhlenbeck process with Dirichlet, Robin or Neumann boundary conditions depending on the range of the parameter that rules the slowness of the boundaries.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-12-03T18:41:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35"
    ],
    "keywords": [
      "slow boundary exclusion process",
      "equilibrium fluctuations",
      "symmetric simple exclusion process",
      "neumann boundary conditions",
      "ornstein-uhlenbeck process"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}