<?xml version="1.0" encoding="utf-8"?>
<TEI xmlns="http://www.tei-c.org/ns/1.0" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:hal="http://hal.archives-ouvertes.fr/" xmlns:gml="http://www.opengis.net/gml/3.3/" xmlns:gmlce="http://www.opengis.net/gml/3.3/ce" version="1.1" xsi:schemaLocation="http://www.tei-c.org/ns/1.0 http://api.archives-ouvertes.fr/documents/aofr-sword.xsd">
  <teiHeader>
    <fileDesc>
      <titleStmt>
        <title>HAL TEI export of hal-00808604</title>
      </titleStmt>
      <publicationStmt>
        <distributor>CCSD</distributor>
        <availability status="restricted">
          <licence target="https://creativecommons.org/publicdomain/zero/1.0/">CC0 1.0 - Universal</licence>
        </availability>
        <date when="2026-05-15T10:57:15+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">Multifractal Random Walks as Fractional Wiener Integrals</title>
            <author role="aut">
              <persName>
                <forename type="first">Patrice</forename>
                <surname>Abry</surname>
              </persName>
              <email type="md5">094139978e701fc3f57e9bb1a3143c25</email>
              <email type="domain">ens-lyon.fr</email>
              <idno type="idhal" notation="string">patrice-abry</idno>
              <idno type="idhal" notation="numeric">178919</idno>
              <idno type="halauthorid" notation="string">2422-178919</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-7096-8290</idno>
              <idno type="IDREF">https://www.idref.fr/03560235X</idno>
              <affiliation ref="#struct-13"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Pierre</forename>
                <surname>Chainais</surname>
              </persName>
              <email type="md5">11ac72175444148e214c25952137a335</email>
              <email type="domain">centralelille.fr</email>
              <idno type="idhal" notation="string">pierre-chainais</idno>
              <idno type="idhal" notation="numeric">17431</idno>
              <idno type="halauthorid" notation="string">38720-17431</idno>
              <idno type="ORCID">https://orcid.org/0000-0003-4377-7584</idno>
              <idno type="IDREF">https://www.idref.fr/134195280</idno>
              <affiliation ref="#struct-857"/>
              <affiliation ref="#struct-56016"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Laure</forename>
                <surname>Coutin</surname>
              </persName>
              <email type="md5">9fe2889c6e7f4491af8fc3e21b8638ac</email>
              <email type="domain">math.univ-toulouse.fr</email>
              <idno type="idhal" notation="numeric">1048296</idno>
              <idno type="halauthorid" notation="string">1597342-1048296</idno>
              <orgName ref="#struct-217752"/>
              <affiliation ref="#struct-2088"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Vladas</forename>
                <surname>Pipiras</surname>
              </persName>
              <idno type="halauthorid">216222-0</idno>
              <affiliation ref="#struct-218992"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>Pierre</forename>
                <surname>Chainais</surname>
              </persName>
              <email type="md5">11ac72175444148e214c25952137a335</email>
              <email type="domain">centralelille.fr</email>
            </editor>
            <funder>The first author gratefully acknowledges the support of the Foundation Del Duca, Institut de France, 2007 grant. The last author was supported in part by the NSF grant DMS-0505628.</funder>
          </titleStmt>
          <editionStmt>
            <edition n="v1" type="current">
              <date type="whenSubmitted">2013-04-09 14:36:26</date>
              <date type="whenWritten">2009-04-24</date>
              <date type="whenModified">2026-01-07 15:52:15</date>
              <date type="whenReleased">2013-04-09 15:59:36</date>
              <date type="whenProduced">2009</date>
              <date type="whenEndEmbargoed">2013-04-09</date>
              <ref type="file" target="https://hal.science/hal-00808604v1/document">
                <date notBefore="2013-04-09"/>
              </ref>
              <ref type="file" subtype="author" n="1" target="https://hal.science/hal-00808604v1/file/multifractal-fbm-rev14.pdf" id="file-808604-109827">
                <date notBefore="2013-04-09"/>
              </ref>
              <ref type="externalLink" target="http://hal.inria.fr/docs/00/80/86/04/PDF/multifractal-fbm-rev14.pdf"/>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="104370">
                <persName>
                  <forename>Pierre</forename>
                  <surname>Chainais</surname>
                </persName>
                <email type="md5">11ac72175444148e214c25952137a335</email>
                <email type="domain">centralelille.fr</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">hal-00808604</idno>
            <idno type="halUri">https://hal.science/hal-00808604</idno>
            <idno type="halBibtex">abry:hal-00808604</idno>
            <idno type="halRefHtml">&lt;i&gt;IEEE Transactions on Information Theory&lt;/i&gt;, 2009, 55 (8), pp.3825-3846. &lt;a target="_blank" href="https://dx.doi.org/10.1109/TIT.2009.2023708"&gt;&amp;#x27E8;10.1109/TIT.2009.2023708&amp;#x27E9;&lt;/a&gt;</idno>
            <idno type="halRef">IEEE Transactions on Information Theory, 2009, 55 (8), pp.3825-3846. &amp;#x27E8;10.1109/TIT.2009.2023708&amp;#x27E9;</idno>
            <availability status="restricted">
              <licence target="https://about.hal.science/hal-authorisation-v1/">HAL Authorization<ref corresp="#file-808604-109827"/></licence>
            </availability>
          </publicationStmt>
          <seriesStmt>
            <idno type="stamp" n="ENS-LYON">École Normale Supérieure de Lyon</idno>
            <idno type="stamp" n="UNIV-PARIS5" corresp="UNIV-PARIS">Université Paris Descartes (Paris 5)</idno>
            <idno type="stamp" n="UNIV-LILLE3">Université de Lille Sciences humaines et sociales</idno>
            <idno type="stamp" n="PRES_CLERMONT">Université de Clermont</idno>
            <idno type="stamp" n="CNRS">CNRS - Centre national de la recherche scientifique</idno>
            <idno type="stamp" n="INRIA">INRIA - Institut National de Recherche en Informatique et en Automatique</idno>
            <idno type="stamp" n="UNIV-CLERMONT1" corresp="PRES_CLERMONT">Université d'Auvergne - Clermont-Ferrand I</idno>
            <idno type="stamp" n="UNIV-BPCLERMONT" corresp="PRES_CLERMONT">Université Blaise Pascal - Clermont-Ferrand II</idno>
            <idno type="stamp" n="UNIV-LYON1">Université Claude Bernard - Lyon I</idno>
            <idno type="stamp" n="INRIA-LILLE">INRIA Lille - Nord Europe</idno>
            <idno type="stamp" n="LAGIS">Laboratoire d'Automatique, Génie Informatique et Signal</idno>
            <idno type="stamp" n="INRIA_TEST">INRIA - Institut National de Recherche en Informatique et en Automatique</idno>
            <idno type="stamp" n="MAP5">MAP5</idno>
            <idno type="stamp" n="LIMOS" corresp="PRES_CLERMONT">Laboratoire d'Informatique, de Modélisation et d'optimisation des Systèmes</idno>
            <idno type="stamp" n="TESTALAIN1">TESTALAIN1</idno>
            <idno type="stamp" n="INRIA2">INRIA 2</idno>
            <idno type="stamp" n="ACL-SF" corresp="PRES_CLERMONT">ACL en Sciences fondamentales</idno>
            <idno type="stamp" n="ACL-SPI" corresp="PRES_CLERMONT">ACL en SPI</idno>
            <idno type="stamp" n="UDL">UDL</idno>
            <idno type="stamp" n="UNIV-LYON">Université de Lyon</idno>
            <idno type="stamp" n="UNIV-PARIS">Université Paris Cité</idno>
            <idno type="stamp" n="UP-SCIENCES">Université Paris Cité - Faculté des Sciences</idno>
            <idno type="stamp" n="CLERMONT-AUVERGNE-INP">Clermont Auvergne INP</idno>
            <idno type="stamp" n="INRIA-ETATSUNIS">Copublications Inria-Etats-Unis</idno>
          </seriesStmt>
          <notesStmt>
            <note type="audience" n="2">International</note>
            <note type="popular" n="0">No</note>
            <note type="peer" n="1">Yes</note>
          </notesStmt>
          <sourceDesc>
            <biblStruct>
              <analytic>
                <title xml:lang="en">Multifractal Random Walks as Fractional Wiener Integrals</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Patrice</forename>
                    <surname>Abry</surname>
                  </persName>
                  <email type="md5">094139978e701fc3f57e9bb1a3143c25</email>
                  <email type="domain">ens-lyon.fr</email>
                  <idno type="idhal" notation="string">patrice-abry</idno>
                  <idno type="idhal" notation="numeric">178919</idno>
                  <idno type="halauthorid" notation="string">2422-178919</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-7096-8290</idno>
                  <idno type="IDREF">https://www.idref.fr/03560235X</idno>
                  <affiliation ref="#struct-13"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Pierre</forename>
                    <surname>Chainais</surname>
                  </persName>
                  <email type="md5">11ac72175444148e214c25952137a335</email>
                  <email type="domain">centralelille.fr</email>
                  <idno type="idhal" notation="string">pierre-chainais</idno>
                  <idno type="idhal" notation="numeric">17431</idno>
                  <idno type="halauthorid" notation="string">38720-17431</idno>
                  <idno type="ORCID">https://orcid.org/0000-0003-4377-7584</idno>
                  <idno type="IDREF">https://www.idref.fr/134195280</idno>
                  <affiliation ref="#struct-857"/>
                  <affiliation ref="#struct-56016"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Laure</forename>
                    <surname>Coutin</surname>
                  </persName>
                  <email type="md5">9fe2889c6e7f4491af8fc3e21b8638ac</email>
                  <email type="domain">math.univ-toulouse.fr</email>
                  <idno type="idhal" notation="numeric">1048296</idno>
                  <idno type="halauthorid" notation="string">1597342-1048296</idno>
                  <orgName ref="#struct-217752"/>
                  <affiliation ref="#struct-2088"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Vladas</forename>
                    <surname>Pipiras</surname>
                  </persName>
                  <idno type="halauthorid">216222-0</idno>
                  <affiliation ref="#struct-218992"/>
                </author>
              </analytic>
              <monogr>
                <idno type="halJournalId" status="VALID">5382</idno>
                <idno type="issn">0018-9448</idno>
                <title level="j">IEEE Transactions on Information Theory</title>
                <imprint>
                  <publisher>Institute of Electrical and Electronics Engineers</publisher>
                  <biblScope unit="volume">55</biblScope>
                  <biblScope unit="issue">8</biblScope>
                  <biblScope unit="pp">3825-3846</biblScope>
                  <date type="datePub">2009</date>
                </imprint>
              </monogr>
              <idno type="doi">10.1109/TIT.2009.2023708</idno>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <keywords scheme="author">
                <term xml:lang="en">Fractional Brownian motion</term>
                <term xml:lang="en">fractional Wiener integrals</term>
                <term xml:lang="en">infinitely divisible cascades</term>
                <term xml:lang="en">multifractal random walks</term>
                <term xml:lang="en">multifractals</term>
                <term xml:lang="en">scaling properties</term>
              </keywords>
              <classCode scheme="halDomain" n="spi.signal">Engineering Sciences [physics]/Signal and Image processing</classCode>
              <classCode scheme="halDomain" n="info.info-ts">Computer Science [cs]/Signal and Image Processing</classCode>
              <classCode scheme="halDomain" n="math.math-pr">Mathematics [math]/Probability [math.PR]</classCode>
              <classCode scheme="halTypology" n="ART">Journal articles</classCode>
              <classCode scheme="halOldTypology" n="ART">Journal articles</classCode>
              <classCode scheme="halTreeTypology" n="ART">Journal articles</classCode>
            </textClass>
            <abstract xml:lang="en">
              <p>Multifractal random walks are defined as integrals of infinitely divisible stationary multifractal cascades with respect to fractional Brownian motion. Their key properties are studied, such as finiteness of moments and scaling, with respect to the chosen values of the self-similarity and infinite divisibility parameters. The range of these parameters is larger than that considered previ- ously in the literature, and the cases of both exact and nonexact scale invariance are considered. Special attention is paid to various types of definitions of multifractal random walks. The resulting random walks are of interest in modeling multifractal processes whose marginals exhibit stationarity and symmetry.</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="laboratory" xml:id="struct-13" status="OLD">
          <idno type="IdRef">182438627</idno>
          <idno type="RNSR">199812078S</idno>
          <idno type="ROR">https://ror.org/00w5ay796</idno>
          <orgName>Laboratoire de Physique de l'ENS Lyon</orgName>
          <orgName type="acronym">Phys-ENS</orgName>
          <date type="end">2020-12-31</date>
          <desc>
            <address>
              <addrLine>46 allée d'Italie 69007 Lyon</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.ens-lyon.fr/PHYSIQUE/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-6818" type="direct"/>
            <relation active="#struct-301088" type="indirect"/>
            <relation active="#struct-194495" type="direct"/>
            <relation name="UMR5672" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="laboratory" xml:id="struct-857" status="OLD">
          <idno type="IdRef">155645919</idno>
          <idno type="RNSR">200212221E</idno>
          <orgName>Laboratoire d'Informatique, de Modélisation et d'optimisation des Systèmes</orgName>
          <orgName type="acronym">LIMOS</orgName>
          <date type="start">2000-01-01</date>
          <date type="end">2016-12-31</date>
          <desc>
            <address>
              <addrLine>Bât ISIMA Campus des Cézeaux BP 10025 63173 AUBIERE cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.isima.fr/limos/</ref>
          </desc>
          <listRelation>
            <relation name="UMR6158 / FRE2239" active="#struct-205618" type="direct"/>
            <relation active="#struct-300267" type="direct"/>
            <relation active="#struct-322672" type="direct"/>
            <relation name="UMR6158" active="#struct-359750" type="direct"/>
            <relation name="UMR6158" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="researchteam" xml:id="struct-56016" status="OLD">
          <idno type="RNSR">200718281V</idno>
          <orgName>Sequential Learning</orgName>
          <orgName type="acronym">SEQUEL</orgName>
          <date type="start">2007-07-01</date>
          <date type="end">2014-12-31</date>
          <desc>
            <address>
              <addrLine>Centre Inria de l'Université de Lille ,170 Av. de Bretagne, 59000 Lille</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.inria.fr/equipes/sequel</ref>
          </desc>
          <listRelation>
            <relation active="#struct-2546" type="direct"/>
            <relation active="#struct-92973" type="indirect"/>
            <relation active="#struct-300009" type="indirect"/>
            <relation active="#struct-301700" type="indirect"/>
            <relation name="UMR8022" active="#struct-441569" type="indirect"/>
            <relation active="#struct-104752" type="direct"/>
            <relation active="#struct-183073" type="direct"/>
            <relation active="#struct-120930" type="indirect"/>
            <relation name="UMR8219" active="#struct-441569" type="indirect"/>
          </listRelation>
        </org>
        <org type="laboratory" xml:id="struct-2088" status="OLD">
          <idno type="IdRef">200850709</idno>
          <idno type="ISNI">0000000403710374</idno>
          <idno type="RNSR">200412801B</idno>
          <orgName>Mathématiques Appliquées Paris 5</orgName>
          <orgName type="acronym">MAP5 - UMR 8145</orgName>
          <date type="start">2004-01-01</date>
          <date type="end">2019-12-31</date>
          <desc>
            <address>
              <addrLine>UFR Mathématiques et Informatique, 45 rue des Saints-Pères 75270 PARIS CEDEX 06</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://w3.mi.parisdescartes.fr/map5/</ref>
          </desc>
          <listRelation>
            <relation name="UMR 8145" active="#struct-301664" type="direct"/>
            <relation name="UMR 8145" active="#struct-302352" type="direct"/>
            <relation name="UMR8145" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="laboratory" xml:id="struct-218992" status="INCOMING">
          <orgName>Dept. of Statistics - University of North Carolina - Chapel Hill</orgName>
          <desc>
            <address>
              <addrLine>Dept. of Statistics &amp; OR, UNC-CH Hanes Hall, CB#3260 Chapel Hill, NC 27599</addrLine>
              <country key="US"/>
            </address>
            <ref type="url">http://www.stat.unc.edu/faculty/pipiras/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-44261" type="direct"/>
            <relation active="#struct-566986" type="indirect"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-6818" status="VALID">
          <idno type="IdRef">149154992</idno>
          <idno type="ISNI">0000000123319856</idno>
          <idno type="ROR">https://ror.org/04zmssz18</idno>
          <idno type="Wikidata">Q10159</idno>
          <orgName>École normale supérieure de Lyon</orgName>
          <orgName type="acronym">ENS de Lyon</orgName>
          <date type="start">2010-01-01</date>
          <desc>
            <address>
              <addrLine>15 parvis René Descartes - BP 7000 - 69342 Lyon Cedex 07</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.ens-lyon.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-301088" type="direct"/>
          </listRelation>
        </org>
        <org type="regroupinstitution" xml:id="struct-301088" status="VALID">
          <idno type="ROR">https://ror.org/01rk35k63</idno>
          <orgName>Université de Lyon</orgName>
          <desc>
            <address>
              <addrLine>92 rue Pasteur - CS 30122, 69361 Lyon Cedex 07</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.universite-lyon.fr/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-194495" status="VALID">
          <idno type="IdRef">026402823</idno>
          <idno type="ISNI">0000000121686185</idno>
          <idno type="ROR">https://ror.org/029brtt94</idno>
          <orgName>Université Claude Bernard Lyon 1</orgName>
          <orgName type="acronym">UCBL</orgName>
          <desc>
            <address>
              <addrLine>43, boulevard du 11 novembre 1918, 69622 Villeurbanne cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.univ-lyon1.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-301088" type="direct"/>
          </listRelation>
        </org>
        <org type="regroupinstitution" xml:id="struct-441569" status="VALID">
          <idno type="IdRef">02636817X</idno>
          <idno type="ISNI">0000000122597504</idno>
          <idno type="ROR">https://ror.org/02feahw73</idno>
          <orgName>Centre National de la Recherche Scientifique</orgName>
          <orgName type="acronym">CNRS</orgName>
          <date type="start">1939-10-19</date>
          <desc>
            <address>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.cnrs.fr/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-205618" status="OLD">
          <orgName>Université Blaise Pascal - Clermont-Ferrand 2</orgName>
          <orgName type="acronym">UBP</orgName>
          <date type="end">2016-12-31</date>
          <desc>
            <address>
              <addrLine>34, avenue Carnot - BP 185 / 63006 Clermont-Ferrand cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.univ-bpclermont.fr/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-300267" status="OLD">
          <orgName>Université d'Auvergne - Clermont-Ferrand I</orgName>
          <orgName type="acronym">UdA</orgName>
          <date type="end">2016-12-31</date>
          <desc>
            <address>
              <addrLine>49, Boulevard François-Mitterrand / CS 60032 / 63001 Clermont-Ferrand Cedex 1</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.u-clermont1.fr/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-322672" status="OLD">
          <orgName>SIGMA Clermont</orgName>
          <orgName type="acronym">SIGMA Clermont</orgName>
          <date type="start">2016-01-01</date>
          <date type="end">2020-12-31</date>
          <desc>
            <address>
              <addrLine>SIGMA Clermont / Campus des Cézeaux  / CS 20265 / 63178 Aubière Cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.sigma-clermont.fr/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-359750" status="VALID">
          <idno type="IdRef">028028694</idno>
          <orgName>Ecole Nationale Supérieure des Mines de St Etienne</orgName>
          <orgName type="acronym">ENSM ST-ETIENNE</orgName>
          <date type="start">1816-01-01</date>
          <desc>
            <address>
              <addrLine>158 Cour Fauriel, 42100 Saint-Étienne</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.mines-stetienne.fr/</ref>
          </desc>
        </org>
        <org type="laboratory" xml:id="struct-2546" status="OLD">
          <orgName>Laboratoire d'Informatique Fondamentale de Lille</orgName>
          <orgName type="acronym">LIFL</orgName>
          <desc>
            <address>
              <addrLine>Bâtiment M3 59655 Villeneuve d'Ascq Cédex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.lifl.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-92973" type="direct"/>
            <relation active="#struct-300009" type="direct"/>
            <relation active="#struct-301700" type="direct"/>
            <relation name="UMR8022" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-92973" status="OLD">
          <idno type="IdRef">026404184</idno>
          <idno type="ROR">https://ror.org/0546v5182</idno>
          <orgName>Université de Lille, Sciences et Technologies</orgName>
          <date type="end">2017-12-31</date>
          <desc>
            <address>
              <addrLine>Cité Scientifique - 59655 Villeneuve d'Ascq Cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.univ-lille1.fr/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-300009" status="VALID">
          <idno type="ROR">https://ror.org/02kvxyf05</idno>
          <orgName>Institut National de Recherche en Informatique et en Automatique</orgName>
          <orgName type="acronym">Inria</orgName>
          <desc>
            <address>
              <addrLine>Domaine de VoluceauRocquencourt - BP 10578153 Le Chesnay Cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.inria.fr/en/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-301700" status="OLD">
          <idno type="IdRef">026404524</idno>
          <idno type="ISNI">0000000121517701</idno>
          <idno type="ROR">https://ror.org/025b4c754</idno>
          <orgName>Université de Lille, Sciences Humaines et Sociales</orgName>
          <date type="end">2017-12-31</date>
          <desc>
            <address>
              <addrLine>Domaine universitaire du "Pont de Bois"Rue du Barreau BP 60149 59653 Villeneuve d'Ascq Cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.univ-lille3.fr/</ref>
          </desc>
        </org>
        <org type="laboratory" xml:id="struct-104752" status="VALID">
          <idno type="RNSR">200818245B</idno>
          <idno type="ROR">https://ror.org/04eej9726</idno>
          <orgName>Centre Inria de l'Université de Lille</orgName>
          <desc>
            <address>
              <addrLine>Parc Scientifique de la Haute Borne 40, avenue Halley Bât.A, Park Plaza 59650 Villeneuve d'Ascq</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.inria.fr/lille/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-300009" type="direct"/>
          </listRelation>
        </org>
        <org type="laboratory" xml:id="struct-183073" status="OLD">
          <orgName>Laboratoire d'Automatique, Génie Informatique et Signal</orgName>
          <orgName type="acronym">LAGIS</orgName>
          <desc>
            <address>
              <addrLine>LAGIS Ecole Centrale de Lille Cité Scientifique 59655 Villeneuve d'Ascq</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://lagis.ec-lille.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-92973" type="direct"/>
            <relation active="#struct-120930" type="direct"/>
            <relation name="UMR8219" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-120930" status="VALID">
          <idno type="IdRef">256304629</idno>
          <idno type="ISNI">0000000122034461</idno>
          <idno type="ROR">https://ror.org/01x441g73</idno>
          <orgName>Centrale Lille</orgName>
          <desc>
            <address>
              <addrLine>École Centrale de Lille - Cité Scientifique - CS 20048 59651 Villeneuve d'Ascq Cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://centralelille.fr/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-301664" status="OLD">
          <idno type="IdRef">026404788</idno>
          <idno type="ISNI">0000 0001 2188 0914 </idno>
          <idno type="ROR">https://ror.org/0220k9r37</idno>
          <orgName>Université Paris Descartes - Paris 5</orgName>
          <orgName type="acronym">UPD5</orgName>
          <date type="start">1971-01-01</date>
          <date type="end">2019-12-31</date>
          <desc>
            <address>
              <addrLine>12, rue de l'École de Médecine - 75270 Paris cedex 06</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.parisdescartes.fr/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-302352" status="VALID">
          <idno type="IdRef">232435081</idno>
          <idno type="ISNI">000000040387052X</idno>
          <idno type="ROR">https://ror.org/050jcm728</idno>
          <orgName>Institut National des Sciences Mathématiques et de leurs Interactions - CNRS Mathématiques</orgName>
          <orgName type="acronym">INSMI-CNRS</orgName>
          <date type="start">2009-10-01</date>
          <desc>
            <address>
              <addrLine>CNRS - Campus Gérard Mégie - 3 rue Michel Ange - 75794 Paris cedex 16</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.insmi.cnrs.fr/fr</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-44261" status="VALID">
          <idno type="IdRef">026594714</idno>
          <idno type="ROR">https://ror.org/0130frc33</idno>
          <idno type="Wikidata">Q192334</idno>
          <orgName>Université de Caroline du Nord à Chapel Hill = University of North Carolina [Chapel Hill]</orgName>
          <orgName type="acronym">UNC-Chapel Hill</orgName>
          <desc>
            <address>
              <addrLine>250 East Franklin Street, Chapel Hill, NC,</addrLine>
              <country key="US"/>
            </address>
            <ref type="url">http://www.unc.edu</ref>
          </desc>
          <listRelation>
            <relation active="#struct-566986" type="direct"/>
          </listRelation>
        </org>
        <org type="regroupinstitution" xml:id="struct-566986" status="VALID">
          <orgName>University of North Carolina System</orgName>
          <orgName type="acronym">UNC</orgName>
          <desc>
            <address>
              <country key="US"/>
            </address>
            <ref type="url">https://www.northcarolina.edu</ref>
          </desc>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>