Essec\Faculty\Model\Contribution {#2216
  #_index: "academ_contributions"
  #_id: "10020"
  #_source: array:26 [
    "id" => "10020"
    "slug" => "on-a-representation-of-gibbs-measure-for-r-e-m"
    "yearMonth" => "2004-05"
    "year" => "2004"
    "title" => "On a representation of Gibbs measure for R.E.M."
    "description" => "KRATZ, M. et PICCO, P. (2004). On a representation of Gibbs measure for R.E.M. <i>Annals of Applied Probability</i>, 14(2), pp. 651-677."
    "authors" => array:2 [
      0 => array:3 [
        "name" => "KRATZ Marie"
        "bid" => "B00072305"
        "slug" => "kratz-marie"
      ]
      1 => array:1 [
        "name" => "PICCO Pierre"
      ]
    ]
    "ouvrage" => ""
    "keywords" => array:7 [
      0 => """
        AMS classification -\n
        62G30
        """
      1 => "82B44"
      2 => """
        62G32\n
        Extremes
        """
      3 => "Gaussian r.v."
      4 => "order statistics"
      5 => "random spin systems"
      6 => "uniform r.v."
    ]
    "updatedAt" => "2021-07-13 14:31:25"
    "publicationUrl" => null
    "publicationInfo" => array:3 [
      "pages" => "651-677"
      "volume" => "14"
      "number" => "2"
    ]
    "type" => array:2 [
      "fr" => "Articles"
      "en" => "Journal articles"
    ]
    "support_type" => array:2 [
      "fr" => "Revue scientifique"
      "en" => "Scientific journal"
    ]
    "countries" => array:2 [
      "fr" => null
      "en" => null
    ]
    "abstract" => array:2 [
      "fr" => "In this work we consider a problem related to the equilibrium statistical mechanics of spin glasses, namely the study of the Gibbs measure of the random energy model. For solving this problem, new results of independent interest on sums of spacings for i.i.d. Gaussian random variables are presented. Then we give a precise description of the support of the Gibbs measure below the critical temperature."
      "en" => "In this work we consider a problem related to the equilibrium statistical mechanics of spin glasses, namely the study of the Gibbs measure of the random energy model. For solving this problem, new results of independent interest on sums of spacings for i.i.d. Gaussian random variables are presented. Then we give a precise description of the support of the Gibbs measure below the critical temperature."
    ]
    "authors_fields" => array:2 [
      "fr" => "Systèmes d'Information, Data Analytics et Opérations"
      "en" => "Information Systems, Data Analytics and Operations"
    ]
    "indexedAt" => "2024-11-21T15:21:45.000Z"
    "docTitle" => "On a representation of Gibbs measure for R.E.M."
    "docSurtitle" => "Journal articles"
    "authorNames" => "<a href="/cv/kratz-marie">KRATZ Marie</a>, PICCO Pierre"
    "docDescription" => "<span class="document-property-authors">KRATZ Marie, PICCO Pierre</span><br><span class="document-property-authors_fields">Information Systems, Data Analytics and Operations</span> | <span class="document-property-year">2004</span>"
    "keywordList" => """
      <a href="#">AMS classification -\n
      62G30</a>, <a href="#">82B44</a>, <a href="#">62G32\n
      Extremes</a>, <a href="#">Gaussian r.v.</a>, <a href="#">order statistics</a>, <a href="#">random spin systems</a>, <a href="#">uniform r.v.</a>
      """
    "docPreview" => "<b>On a representation of Gibbs measure for R.E.M.</b><br><span>2004-05 | Journal articles </span>"
    "docType" => "research"
    "publicationLink" => "<a href="#" target="_blank">On a representation of Gibbs measure for R.E.M.</a>"
  ]
  +lang: "en"
  +"_type": "_doc"
  +"_score": 8.68352
  +"parent": null
}