{
  "id": "0704.1157",
  "version": "v1",
  "published": "2007-04-09T21:19:14.000Z",
  "updated": "2007-04-09T21:19:14.000Z",
  "title": "Fermionic construction of tau functions and random processes",
  "authors": [
    "John Harnad",
    "Alexander Yu. Orlov"
  ],
  "comment": "53 pages, 13 figures, a contribution to Proc. \"Mathematics and Physics of Growing Interfaces\"",
  "journal": "Physica D: 235 (2007) 168-206",
  "doi": "10.1016/j.physd.2007.05.011",
  "categories": [
    "math-ph",
    "cond-mat.stat-mech",
    "hep-th",
    "math.MP",
    "math.PR"
  ],
  "abstract": "Tau functions expressed as fermionic expectation values are shown to provide a natural and straightforward description of a number of random processes and statistical models involving hard core configurations of identical particles on the integer lattice, like a discrete version simple exclusion processes (ASEP), nonintersecting random walkers, lattice Coulomb gas models and others, as well as providing a powerful tool for combinatorial calculations involving paths between pairs of partitions. We study the decay of the initial step function within the discrete ASEP (d-ASEP) model as an example.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-04-09T21:19:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "tau functions",
      "random processes",
      "fermionic construction",
      "discrete version simple exclusion processes",
      "lattice coulomb gas models"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Physica D Nonlinear Phenomena",
      "year": 2007,
      "month": "Nov",
      "volume": 235,
      "number": "1-2",
      "pages": 168
    },
    "note": {
      "typesetting": "TeX",
      "pages": 53,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 775835,
      "adsabs": "2007PhyD..235..168H"
    }
  }
}