Essec\Faculty\Model\Contribution {#2216
  #_index: "academ_contributions"
  #_id: "10123"
  #_source: array:26 [
    "id" => "10123"
    "slug" => "funciones-de-distribucion-de-cuerdas-en-medios-porosos"
    "yearMonth" => "2006-11"
    "year" => "2006"
    "title" => "Funciones de distribucion de cuerdas en medios porosos."
    "description" => "KRATZ, M., ESTRADE, A. et IRIBARREN, I. (2006). Funciones de distribucion de cuerdas en medios porosos. Dans: Rencontres France-Espagne-Venezuela de probabilité et statistique mathématique. Choroni."
    "authors" => array:3 [
      0 => array:3 [
        "name" => "KRATZ Marie"
        "bid" => "B00072305"
        "slug" => "kratz-marie"
      ]
      1 => array:1 [
        "name" => "ESTRADE Anne"
      ]
      2 => array:1 [
        "name" => "IRIBARREN Ileana"
      ]
    ]
    "ouvrage" => "Rencontres France-Espagne-Venezuela de probabilité et statistique mathématique"
    "keywords" => array:6 [
      0 => "chords"
      1 => "(up/down) crossings"
      2 => "level-cut process"
      3 => "Palm measure"
      4 => "porous media"
      5 => "Rice formula"
    ]
    "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 consider a two-phases model to describe a porous medium; an image of this medium, seen as a random level surface of a process X, is divided into two phases (pore and solid) according to whether X is less or\n
        greater than some threshold. The statistical approach is made by observing the chord functions, i.e. the lengths of time intervals when X is in the same phase.\n
        Based on excursions theory, in particular on level crossings number, this work provides the exact formula of the chord-distribution functions and the two-point\n
        correlation function obtained from cross-sectional micrographs, proving in a rigorous way, as well as generalizing, some results published in the physics\n
        literature in the 90s (see for instance Berk, Teubner, Roberts or Torquato).
        """
      "en" => """
        We consider a two-phases model to describe a porous medium; an image of this medium, seen as a random level surface of a process X, is divided into two phases (pore and solid) according to whether X is less or\n
        greater than some threshold. The statistical approach is made by observing the chord functions, i.e. the lengths of time intervals when X is in the same phase.\n
        Based on excursions theory, in particular on level crossings number, this work provides the exact formula of the chord-distribution functions and the two-point\n
        correlation function obtained from cross-sectional micrographs, proving in a rigorous way, as well as generalizing, some results published in the physics\n
        literature in the 90s (see for instance Berk, Teubner, Roberts or Torquato).
        """
    ]
    "authors_fields" => array:2 [
      "fr" => "Systèmes d'Information, Data Analytics et Opérations"
      "en" => "Information Systems, Data Analytics and Operations"
    ]
    "indexedAt" => "2024-11-21T10:21:50.000Z"
    "docTitle" => "Funciones de distribucion de cuerdas en medios porosos."
    "docSurtitle" => "Presentations at an Academic or Professional conference"
    "authorNames" => "<a href="/cv/kratz-marie">KRATZ Marie</a>, ESTRADE Anne, IRIBARREN Ileana"
    "docDescription" => "<span class="document-property-authors">KRATZ Marie, ESTRADE Anne, IRIBARREN Ileana</span><br><span class="document-property-authors_fields">Information Systems, Data Analytics and Operations</span> | <span class="document-property-year">2006</span>"
    "keywordList" => "<a href="#">chords</a>, <a href="#">(up/down) crossings</a>, <a href="#">level-cut process</a>, <a href="#">Palm measure</a>, <a href="#">porous media</a>, <a href="#">Rice formula</a>"
    "docPreview" => "<b>Funciones de distribucion de cuerdas en medios porosos.</b><br><span>2006-11 | Presentations at an Academic or Professional conference </span>"
    "docType" => "research"
    "publicationLink" => "<a href="#" target="_blank">Funciones de distribucion de cuerdas en medios porosos.</a>"
  ]
  +lang: "en"
  +"_type": "_doc"
  +"_score": 9.064929
  +"parent": null
}