{
  "id": "1412.5087",
  "version": "v1",
  "published": "2014-12-16T17:30:09.000Z",
  "updated": "2014-12-16T17:30:09.000Z",
  "title": "Fluctuations of TASEP and LPP with general initial data",
  "authors": [
    "Ivan Corwin",
    "Zhipeng Liu",
    "Dong Wang"
  ],
  "comment": "44 pages, 5 figures",
  "categories": [
    "math.PR",
    "cond-mat.stat-mech",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We prove Airy process variational formulas for the one-point probability distribution of (discrete time parallel update) TASEP with general initial data, as well as last passage percolation from a general lattice path to a point. We also consider variants of last passage percolation with inhomogeneous weights and provide variational formulas of a similar nature. This proves one aspect of the conjectural description of the renormalization fixed point of the Kardar-Parisi-Zhang universality class.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-12-16T17:30:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "general initial data",
      "fluctuations",
      "airy process variational formulas",
      "passage percolation",
      "discrete time parallel update"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 44,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1412.5087C"
    }
  }
}