{
  "id": "0807.3313",
  "version": "v2",
  "published": "2008-07-21T17:45:59.000Z",
  "updated": "2008-10-21T18:34:21.000Z",
  "title": "Space-Time Current Process for Independent Random Walks in One Dimension",
  "authors": [
    "Rohini Kumar"
  ],
  "comment": "to appear in Alea",
  "journal": "ALEA Lat. Am. J. Probab. Math. Stat. 4 (2008), 307 -- 336",
  "categories": [
    "math.PR"
  ],
  "abstract": "In a system made up of independent random walks, fluctuations of order $n^{1/4}$ from the hydrodynamic limit come from particle current across characteristics. We show that a two-parameter space-time particle current process converges to a two-parameter Gaussian process. These Gaussian processes also appear as the limit for the one-dimensional random average process. The final section of this paper looks at large deviations of the current process.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-10-21T18:34:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35",
      "60F10"
    ],
    "keywords": [
      "independent random walks",
      "space-time current process",
      "space-time particle current process converges",
      "two-parameter space-time particle current process",
      "one-dimensional random average process"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0807.3313K"
    }
  }
}