{
  "id": "math/0402009",
  "version": "v1",
  "published": "2004-02-01T23:57:43.000Z",
  "updated": "2004-02-01T23:57:43.000Z",
  "title": "Theory of Computation of Multidimensional Entropy with an Application to the Monomer-Dimer Problem",
  "authors": [
    "Shmuel Friedland",
    "Uri N. Peled"
  ],
  "comment": "35 pages, one pstricks and two eps figures, submitted",
  "categories": [
    "math.CO",
    "math-ph",
    "math.MP",
    "physics.chem-ph"
  ],
  "abstract": "We outline the most recent theory for the computation of the exponential growth rate of the number of configurations on a multi-dimensional grid. As an application we compute the monomer-dimer constant for the 2-dimensional grid to 8 decimal digits, agreeing with the heuristic computations of Baxter, and for the 3-dimensional grid with an error smaller than 1.35%.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-02-01T23:57:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82B20",
      "37M25",
      "28D20",
      "05A16"
    ],
    "keywords": [
      "multidimensional entropy",
      "monomer-dimer problem",
      "application",
      "exponential growth rate",
      "multi-dimensional grid"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 35,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......2009F"
    }
  }
}