{
  "id": "0708.2165",
  "version": "v3",
  "published": "2007-08-16T10:14:44.000Z",
  "updated": "2009-09-01T08:31:17.000Z",
  "title": "Matching with shift for one-dimensional Gibbs measures",
  "authors": [
    "P. Collet",
    "C. Giardina",
    "F. Redig"
  ],
  "comment": "Published in at http://dx.doi.org/10.1214/08-AAP588 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)",
  "journal": "Annals of Applied Probability 2009, Vol. 19, No. 4, 1581-1602",
  "doi": "10.1214/08-AAP588",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We consider matching with shifts for Gibbsian sequences. We prove that the maximal overlap behaves as $c\\log n$, where $c$ is explicitly identified in terms of the thermodynamic quantities (pressure) of the underlying potential. Our approach is based on the analysis of the first and second moment of the number of overlaps of a given size. We treat both the case of equal sequences (and nonzero shifts) and independent sequences.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2009-09-01T08:31:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35",
      "92D20"
    ],
    "keywords": [
      "one-dimensional gibbs measures",
      "maximal overlap behaves",
      "independent sequences",
      "equal sequences",
      "nonzero shifts"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0708.2165C"
    }
  }
}