{
  "id": "math-ph/0608056",
  "version": "v3",
  "published": "2006-08-25T10:18:51.000Z",
  "updated": "2006-12-14T13:09:58.000Z",
  "title": "Fluctuation properties of the TASEP with periodic initial configuration",
  "authors": [
    "Alexei Borodin",
    "Patrik L. Ferrari",
    "Michael Prähofer",
    "Tomohiro Sasamoto"
  ],
  "comment": "33 pages, 4 figure, LaTeX; We added several references to the general framework and techniques used",
  "journal": "J. Stat. Phys. 129 (2007), 1055-1080",
  "doi": "10.1007/s10955-007-9383-0",
  "categories": [
    "math-ph",
    "cond-mat.stat-mech",
    "math.MP",
    "math.PR"
  ],
  "abstract": "We consider the joint distributions of particle positions for the continuous time totally asymmetric simple exclusion process (TASEP). They are expressed as Fredholm determinants with a kernel defining a signed determinantal point process. We then consider certain periodic initial conditions and determine the kernel in the scaling limit. This result has been announced first in a letter by one of us and here we provide a self-contained derivation. Connections to last passage directed percolation and random matrices are also briefly discussed.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2006-12-14T13:09:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82C22",
      "60K35",
      "15A52"
    ],
    "keywords": [
      "periodic initial configuration",
      "fluctuation properties",
      "totally asymmetric simple exclusion process",
      "time totally asymmetric simple exclusion"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Statistical Physics",
      "year": 2007,
      "month": "Dec",
      "volume": 129,
      "number": "5-6",
      "pages": 1055
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 33,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007JSP...129.1055B"
    }
  }
}