{
  "id": "cond-mat/0212078",
  "version": "v1",
  "published": "2002-12-04T01:32:50.000Z",
  "updated": "2002-12-04T01:32:50.000Z",
  "title": "Structural Information in Two-Dimensional Patterns: Entropy Convergence and Excess Entropy",
  "authors": [
    "David P. Feldman",
    "James P. Crutchfield"
  ],
  "comment": "11 pages, 5 figures, http://www.santafe.edu/projects/CompMech/papers/2dnnn.html",
  "doi": "10.1103/PhysRevE.67.051104",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We develop information-theoretic measures of spatial structure and pattern in more than one dimension. As is well known, the entropy density of a two-dimensional configuration can be efficiently and accurately estimated via a converging sequence of conditional entropies. We show that the manner in which these conditional entropies converge to their asymptotic value serves as a measure of global correlation and structure for spatial systems in any dimension. We compare and contrast entropy-convergence with mutual-information and structure-factor techniques for quantifying and detecting spatial structure.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-12-04T01:32:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05.20.-y",
      "05.45.-a",
      "65.40.Gr",
      "89.75.Kd"
    ],
    "keywords": [
      "excess entropy",
      "two-dimensional patterns",
      "entropy convergence",
      "structural information",
      "spatial structure"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review E",
      "year": 2003,
      "month": "May",
      "volume": 67,
      "number": 5,
      "pages": "051104"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003PhRvE..67e1104F"
    }
  }
}