Essec\Faculty\Model\Contribution {#2190`
#_index: "academ_contributions"
#_id: "5560"
#_source: array:26 [``
"id" => "5560"
"slug" => "chord-distribution-functions-and-rice-formulae-application-to-random-media"
"yearMonth" => "2007-07"
"year" => "2007"
"title" => "Chord-distribution Functions and Rice Formulae. Application to Random Media."
"description" => "KRATZ, M., ESTRADE, A. et IRIBARREN, I. (2007). Chord-distribution Functions and Rice Formulae. Application to Random Media."
"authors" => array:3 [``
0 => array:3 [``
"name" => "KRATZ Marie"
"bid" => "B00072305"
"slug" => "kratz-marie"
`]
1 => array:1 [`
"name" => "ESTRADE A."
`]
2 => array:1 [`
"name" => "IRIBARREN I."
`]
]
"ouvrage" => ""
"keywords" => array:1 [`
0 => "Chords"
`]
"updatedAt" => "2021-04-19 17:57:25"
"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 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. 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 correlation function obtained from cross-sectional micrographs, proving in a rigorous way, as well as generalizing, some results published in the physics 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 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. 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 correlation function obtained from cross-sectional micrographs, proving in a rigorous way, as well as generalizing, some results published in the physics literature in the 90s (see for instance Berk, Teubner, Roberts or Torquato)."
`]
"authors_fields" => array:2 [`
"fr" => "Systèmes d’Information, Sciences de la Décision et Statistiques"
"en" => "Information Systems, Decision Sciences and Statistics"
`]
"indexedAt" => "2024-03-04T23:21:47.000Z"
"docTitle" => "Chord-distribution Functions and Rice Formulae. Application to Random Media."
"docSurtitle" => "Presentations at an Academic or Professional conference"
"authorNames" => "<a href="/cv/kratz-marie">KRATZ Marie</a>, ESTRADE A., IRIBARREN I."
"docDescription" => "<span class="document-property-authors">KRATZ Marie, ESTRADE A., IRIBARREN I.</span><br><span class="document-property-authors_fields">Information Systems, Decision Sciences and Statistics</span> | <span class="document-property-year">2007</span>"
"keywordList" => "<a href="#">Chords</a>"
"docPreview" => "<b>Chord-distribution Functions and Rice Formulae. Application to Random Media.</b><br><span>2007-07 | Presentations at an Academic or Professional conference </span>"
"docType" => "research"
"publicationLink" => "<a href="#" target="_blank">Chord-distribution Functions and Rice Formulae. Application to Random Media.</a>"
]
+lang: "en"
+"_type": "_doc"
+"_score": 9.145908
+"parent": null
}