{
  "id": "1601.05398",
  "version": "v1",
  "published": "2016-01-20T20:16:23.000Z",
  "updated": "2016-01-20T20:16:23.000Z",
  "title": "An interacting particle system with geometric jump rates near a partially reflecting boundary",
  "authors": [
    "Jeffrey Kuan"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "This paper constructs a new interacting particle system on a two--dimensional lattice with geometric jumps near a boundary which partially reflects the particles. The projection to each horizontal level is Markov, and on every level the dynamics match stochastic matrices constructed from pure alpha characters of $Sp(\\infty)$, while on every other level they match an interacting particle system from Pieri formulas for $Sp(2r)$. Using a previously discovered correlation kernel, asymptotics are shown to be the Discrete Jacobi and Symmetric Pearcey processes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-01-20T20:16:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "interacting particle system",
      "geometric jump rates",
      "partially reflecting boundary",
      "dynamics match stochastic matrices",
      "pure alpha characters"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160105398K"
    }
  }
}