{
  "id": "2010.09011",
  "version": "v1",
  "published": "2020-10-18T15:54:12.000Z",
  "updated": "2020-10-18T15:54:12.000Z",
  "title": "The invariant measure of PushASEP with a wall and point-to-line last passage percolation",
  "authors": [
    "Will FitzGerald"
  ],
  "comment": "25 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "We consider an interacting particle system on the lattice involving pushing and blocking interactions, called PushASEP, in the presence of a wall at the origin. We show that the invariant measure of this system is equal in distribution to a vector of point-to-line last passage percolation times in a random geometrically distributed environment. The largest co-ordinates in both of these vectors are equal in distribution to the all-time supremum of a non-colliding random walk.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-10-18T15:54:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35",
      "60C05",
      "60J45"
    ],
    "keywords": [
      "invariant measure",
      "point-to-line",
      "passage percolation times",
      "interacting particle system",
      "non-colliding random walk"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}