Essec\Faculty\Model\Contribution {#2190
  #_index: "academ_contributions"
  #_id: "10115"
  #_source: array:25 [
    "id" => "10115"
    "slug" => "curve-crossings-and-specular-points-dapres-longuet-higgins"
    "yearMonth" => "2006-07"
    "year" => "2006"
    "title" => "Curve crossings and specular points, d'après Longuet-Higgins."
    "description" => "KRATZ, M. et LEON, J. (2006). Curve crossings and specular points, d'après Longuet-Higgins. Dans: 31th Conference on Stochastic Processes and their Applications. Paris."
    "authors" => array:2 [
      0 => array:3 [
        "name" => "KRATZ Marie"
        "bid" => "B00072305"
        "slug" => "kratz-marie"
      ]
      1 => array:1 [
        "name" => "LEON José"
      ]
    ]
    "ouvrage" => "31th Conference on Stochastic Processes and their Applications"
    "keywords" => array:7 [
      0 => "crossings"
      1 => "CLT"
      2 => "Gaussian fields"
      3 => "Hermite polynomials"
      4 => "level curve"
      5 => "specular point"
      6 => "twinkle"
    ]
    "updatedAt" => "2021-07-13 14:31:27"
    "publicationUrl" => null
    "publicationInfo" => array:3 [
      "pages" => null
      "volume" => null
      "number" => null
    ]
    "type" => array:2 [
      "fr" => "Communications dans une conférence"
      "en" => "Presentations at an Academic or Professional conference"
    ]
    "support_type" => array:2 [
      "fr" => null
      "en" => null
    ]
    "countries" => array:2 [
      "fr" => null
      "en" => null
    ]
    "abstract" => array:2 [
      "fr" => """
        We use the Hermite expansion for the number of crossings of a differentiable curve by a stationary process to study\n
        the number of specular points of a curve and to understand its dynamical behavior, in particular asymptotically (CLT).
        """
      "en" => """
        We use the Hermite expansion for the number of crossings of a differentiable curve by a stationary process to study\n
        the number of specular points of a curve and to understand its dynamical behavior, in particular asymptotically (CLT).
        """
    ]
    "authors_fields" => array:2 [
      "fr" => "Systèmes d’Information, Sciences de la Décision et Statistiques"
      "en" => "Information Systems, Decision Sciences and Statistics"
    ]
    "indexedAt" => "2023-12-10T19:22:08.000Z"
    "docTitle" => "Curve crossings and specular points, d'après Longuet-Higgins."
    "docSurtitle" => "Presentations at an Academic or Professional conference"
    "authorNames" => "<a href="/cv/kratz-marie">KRATZ Marie</a>, LEON José"
    "docDescription" => "<span class="document-property-authors">KRATZ Marie, LEON José</span><br><span class="document-property-authors_fields">Information Systems, Decision Sciences and Statistics</span> | <span class="document-property-year">2006</span>"
    "keywordList" => "<a href="#">crossings</a>, <a href="#">CLT</a>, <a href="#">Gaussian fields</a>, <a href="#">Hermite polynomials</a>, <a href="#">level curve</a>, <a href="#">specular point</a>, <a href="#">twinkle</a>"
    "docPreview" => "<b>Curve crossings and specular points, d'après Longuet-Higgins.</b><br><span>2006-07 | Presentations at an Academic or Professional conference </span>"
    "docType" => "research"
  ]
  +lang: "en"
  +"_type": "_doc"
  +"_score": 8.747733
  +"parent": null
}