<?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-02280882v3</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="2026-05-12T13:53:55+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">Conditional propagation of chaos for mean field systems of interacting neurons</title>
            <title xml:lang="fr">Propagation du chaos conditionnelle pour des systèmes de neurones en interaction en champ moyen</title>
            <author role="aut">
              <persName>
                <forename type="first">Xavier</forename>
                <surname>Erny</surname>
              </persName>
              <email type="md5">6ce8a32f0a6bbf73e1af718c48a29f8d</email>
              <email type="domain">orange.fr</email>
              <idno type="idhal" notation="string">xavier-erny</idno>
              <idno type="idhal" notation="numeric">736939</idno>
              <idno type="halauthorid" notation="string">44395-736939</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-3960-4085</idno>
              <idno type="IDREF">https://www.idref.fr/256554641</idno>
              <idno type="VIAF">https://viaf.org/viaf/99162842095973040594</idno>
              <affiliation ref="#struct-563936"/>
              <affiliation ref="#struct-89901"/>
              <affiliation ref="#struct-1144063"/>
              <affiliation ref="#struct-1002387"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Eva</forename>
                <surname>Löcherbach</surname>
              </persName>
              <email type="md5">24aee0f926b8cf152340b3d84ee76cdf</email>
              <email type="domain">u-cergy.fr</email>
              <idno type="idhal" notation="string">eva-locherbach</idno>
              <idno type="idhal" notation="numeric">735580</idno>
              <idno type="halauthorid" notation="string">25374-735580</idno>
              <idno type="IDREF">https://www.idref.fr/069982643</idno>
              <idno type="ORCID">https://orcid.org/0000-0003-4436-2532</idno>
              <affiliation ref="#struct-92163"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Dasha</forename>
                <surname>Loukianova</surname>
              </persName>
              <email type="md5">6241ae34ea75d66714ed113f0bc5cbd9</email>
              <email type="domain">aliceadsl.fr</email>
              <idno type="idhal" notation="string">dasha-loukianova</idno>
              <idno type="idhal" notation="numeric">858714</idno>
              <idno type="halauthorid" notation="string">382814-858714</idno>
              <idno type="IDREF">https://www.idref.fr/191067075</idno>
              <idno type="VIAF">https://viaf.org/viaf/1291145857163422921790</idno>
              <affiliation ref="#struct-1002387"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>xavier</forename>
                <surname>erny</surname>
              </persName>
              <email type="md5">6ce8a32f0a6bbf73e1af718c48a29f8d</email>
              <email type="domain">orange.fr</email>
            </editor>
            <funder ref="#projanr-53380"/>
          </titleStmt>
          <editionStmt>
            <edition n="v1">
              <date type="whenSubmitted">2019-09-06 16:40:23</date>
            </edition>
            <edition n="v2">
              <date type="whenSubmitted">2019-09-21 17:14:00</date>
            </edition>
            <edition n="v3" type="current">
              <date type="whenSubmitted">2020-03-02 19:49:44</date>
              <date type="whenModified">2026-02-18 09:14:01</date>
              <date type="whenReleased">2020-03-04 16:35:11</date>
              <date type="whenProduced">2021-01-10</date>
              <date type="whenEndEmbargoed">2020-03-02</date>
              <ref type="file" target="https://hal.science/hal-02280882v3/document">
                <date notBefore="2020-03-02"/>
              </ref>
              <ref type="file" subtype="author" n="1" target="https://hal.science/hal-02280882v3/file/grands_sauts_FINAL-02-03-2020.pdf" id="file-2496271-2372224">
                <date notBefore="2020-03-02"/>
              </ref>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="517952">
                <persName>
                  <forename>xavier</forename>
                  <surname>erny</surname>
                </persName>
                <email type="md5">6ce8a32f0a6bbf73e1af718c48a29f8d</email>
                <email type="domain">orange.fr</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">hal-02280882</idno>
            <idno type="halUri">https://hal.science/hal-02280882</idno>
            <idno type="halBibtex">erny:hal-02280882</idno>
            <idno type="halRefHtml">&lt;i&gt;Electronic Journal of Probability&lt;/i&gt;, 2021, 26 (none), pp.1-25. &lt;a target="_blank" href="https://dx.doi.org/10.1214/21-EJP580"&gt;&amp;#x27E8;10.1214/21-EJP580&amp;#x27E9;&lt;/a&gt;</idno>
            <idno type="halRef">Electronic Journal of Probability, 2021, 26 (none), pp.1-25. &amp;#x27E8;10.1214/21-EJP580&amp;#x27E9;</idno>
            <availability status="restricted">
              <licence target="https://about.hal.science/hal-authorisation-v1/">HAL Authorization<ref corresp="#file-2496271-2372224"/></licence>
            </availability>
          </publicationStmt>
          <seriesStmt>
            <idno type="stamp" n="UNIV-PARIS1">Université Panthéon-Sorbonne - Paris I</idno>
            <idno type="stamp" n="CNRS">CNRS - Centre national de la recherche scientifique</idno>
            <idno type="stamp" n="UNIV-EVRY">Université d'Evry-Val d'Essonne</idno>
            <idno type="stamp" n="SAMOS">Statistique Appliquée et MOdélisation Stochastique</idno>
            <idno type="stamp" n="INSMI">CNRS-INSMI - INstitut des Sciences Mathématiques et de leurs Interactions</idno>
            <idno type="stamp" n="TELECOM-SUDPARIS" corresp="INSTITUT-MINES-TELECOM">Télécom SudParis</idno>
            <idno type="stamp" n="SAMM" corresp="UNIV-PARIS1">Statistique, Analyse et Modélisation Multidisciplinaire (SAmos-Marin Mersenne)</idno>
            <idno type="stamp" n="LAMME" corresp="UNIV-EVRY">Laboratoire de Mathématiques et Modélisation d'Évry</idno>
            <idno type="stamp" n="UNIV-PARIS-SACLAY">Université Paris-Saclay</idno>
            <idno type="stamp" n="UNIV-EVRY-SACLAY" corresp="UNIV-PARIS-SACLAY">UNIV-EVRY-SACLAY</idno>
            <idno type="stamp" n="IP_PARIS">Institut Polytechnique de Paris</idno>
            <idno type="stamp" n="INSTITUTS-TELECOM">composantes instituts telecom </idno>
            <idno type="stamp" n="INRAE">Institut National de Recherche en Agriculture, Alimentation et Environnement</idno>
            <idno type="stamp" n="TEST-HALCNRS">Collection test HAL CNRS</idno>
            <idno type="stamp" n="UNIVERSITE-PARIS-SACLAY" corresp="UNIV-PARIS-SACLAY">Université Paris-Saclay</idno>
            <idno type="stamp" n="ANR">ANR</idno>
            <idno type="stamp" n="GS-ENGINEERING">Graduate School Sciences de l'Ingénierie et des Systèmes</idno>
            <idno type="stamp" n="GS-LIFE-SCIENCES-HEALTH" corresp="UNIVERSITE-PARIS-SACLAY">Graduate School Life Sciences and Health</idno>
            <idno type="stamp" n="MATHNUM">Département MathNum</idno>
            <idno type="stamp" n="INSTITUT-MINES-TELECOM">Institut Mines Telecom</idno>
            <idno type="stamp" n="IP-PARIS-DEPARTEMENT-MATHEMATIQUES">Département de Mathèmatiques</idno>
            <idno type="stamp" n="IP-PARIS-INFORMATION-COMMUNICATION-ELECTRONIQUE">IP Paris Département d'Information, de Communication et d'Électronique</idno>
            <idno type="stamp" n="IP-PARIS-INFORMATIQUE-DONNEES-ET-IA">IP Paris Département d'Informatique, de Données et d'IA</idno>
            <idno type="stamp" n="SAMOVAR">Services répartis, Architectures, Modélisation, Validation, Administration des Réseaux</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">Conditional propagation of chaos for mean field systems of interacting neurons</title>
                <title xml:lang="fr">Propagation du chaos conditionnelle pour des systèmes de neurones en interaction en champ moyen</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Xavier</forename>
                    <surname>Erny</surname>
                  </persName>
                  <email type="md5">6ce8a32f0a6bbf73e1af718c48a29f8d</email>
                  <email type="domain">orange.fr</email>
                  <idno type="idhal" notation="string">xavier-erny</idno>
                  <idno type="idhal" notation="numeric">736939</idno>
                  <idno type="halauthorid" notation="string">44395-736939</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-3960-4085</idno>
                  <idno type="IDREF">https://www.idref.fr/256554641</idno>
                  <idno type="VIAF">https://viaf.org/viaf/99162842095973040594</idno>
                  <affiliation ref="#struct-563936"/>
                  <affiliation ref="#struct-89901"/>
                  <affiliation ref="#struct-1144063"/>
                  <affiliation ref="#struct-1002387"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Eva</forename>
                    <surname>Löcherbach</surname>
                  </persName>
                  <email type="md5">24aee0f926b8cf152340b3d84ee76cdf</email>
                  <email type="domain">u-cergy.fr</email>
                  <idno type="idhal" notation="string">eva-locherbach</idno>
                  <idno type="idhal" notation="numeric">735580</idno>
                  <idno type="halauthorid" notation="string">25374-735580</idno>
                  <idno type="IDREF">https://www.idref.fr/069982643</idno>
                  <idno type="ORCID">https://orcid.org/0000-0003-4436-2532</idno>
                  <affiliation ref="#struct-92163"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Dasha</forename>
                    <surname>Loukianova</surname>
                  </persName>
                  <email type="md5">6241ae34ea75d66714ed113f0bc5cbd9</email>
                  <email type="domain">aliceadsl.fr</email>
                  <idno type="idhal" notation="string">dasha-loukianova</idno>
                  <idno type="idhal" notation="numeric">858714</idno>
                  <idno type="halauthorid" notation="string">382814-858714</idno>
                  <idno type="IDREF">https://www.idref.fr/191067075</idno>
                  <idno type="VIAF">https://viaf.org/viaf/1291145857163422921790</idno>
                  <affiliation ref="#struct-1002387"/>
                </author>
              </analytic>
              <monogr>
                <idno type="halJournalId" status="VALID">765</idno>
                <idno type="issn">1083-6489</idno>
                <title level="j">Electronic Journal of Probability</title>
                <imprint>
                  <publisher>Institute of Mathematical Statistics (IMS)</publisher>
                  <biblScope unit="volume">26</biblScope>
                  <biblScope unit="issue">none</biblScope>
                  <biblScope unit="pp">1-25</biblScope>
                  <date type="datePub">2021-01-10</date>
                  <date type="dateEpub">2020-03-02</date>
                </imprint>
              </monogr>
              <idno type="doi">10.1214/21-EJP580</idno>
              <ref type="publisher">https://projecteuclid.org/journals/electronic-journal-of-probability/volume-26/issue-none/Conditional-propagation-of-chaos-for-mean-field-systems-of-interacting/10.1214/21-EJP580.full</ref>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <keywords scheme="author">
                <term xml:lang="en">Hewitt Savage theorem</term>
                <term xml:lang="en">Exchangeability</term>
                <term xml:lang="en">Interacting particle systems</term>
                <term xml:lang="en">Multivariate nonlinear Hawkes processes with variable length memory</term>
                <term xml:lang="en">Mean field interaction</term>
                <term xml:lang="en">Propagation of chaos</term>
                <term xml:lang="en">Piecewise deterministic Markov processes</term>
              </keywords>
              <classCode scheme="halDomain" n="math">Mathematics [math]</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>We study the stochastic system of interacting neurons introduced in De Masi et al. (2015) and in Fournier and L\"ocherbach (2016) in a diffusive scaling. The system consists of $N$ neurons, each spiking randomly with rate depending on its membrane potential. At its spiking time, the potential of the spiking neuron is reset to $0$ and all other neurons receive an additional amount of potential which is a centred random variable of order $ 1 / \sqrt{N}.$ In between successive spikes, each neuron's potential follows a deterministic flow. We prove the convergence of the system, as $N \to \infty$, to a limit nonlinear jumping stochastic differential equation driven by Poisson random measure and an additional Brownian motion $W$ which is created by the central limit theorem. This Brownian motion is underlying each particle's motion and induces a common noise factor for all neurons in the limit system. Conditionally on $W,$ the different neurons are independent in the limit system. This is the {\it conditional propagation of chaos} property. We prove the well-posedness of the limit equation by adapting the ideas of Graham (1992) to our frame. To prove the convergence in distribution of the finite system to the limit system, we introduce a new martingale problem that is well suited for our framework. The uniqueness of the limit is deduced from the exchangeability of the underlying system.</p>
            </abstract>
            <abstract xml:lang="fr">
              <p>Nous étudions un système stochastique de neurones en interaction introduit dans De Masi et al. (2015) et dans Fournier et Löcherbach (2016) dans une normalisation diffusive. Le système est constitué de N neurones, chacun envoie des décharges aléatoirement avec un taux qui dépend de son potentiel de membrane. A chaque instant de décharge, le potentiel du neurone correspondant est réinitialisé à 0 et tous les autres neurones reçoivent une quantité de potentiel supplémentaire, qui est une variable aléatoire centrée de l'ordre de $N^{-1/2}$. Entre deux décharges successives, le potentiel de chaque neurone suit un flot déterministe. Nous prouvons que ce système converge, quand N tend vers l'infini, vers équation différentielle stochastique avec saut dirigée par un mesure de Poisson et un mouvement brownien W, qui est créé par le théorème central limite. Ce mouvement brownien régit les mouvements de toutes les particules, et crée un bruit commun à tous les neurones du système limite. Conditionnellement à W, les neurones sont indépendants dans le système limite. C'est la propriété de propagation du chaos conditionnelle. Nous prouvons que le système limite est bien-posé en adaptant les idées de Graham (1992) à notre cadre. Pour prouver la convergence en loi du système fini vers le système limite, nous introduisons un nouveau problème de martingale adapté à notre cadre de travail. L'unicité de la limite est une conséquence de l'échangeabilité du système associé.</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="regroupinstitution" xml:id="struct-563936" status="VALID">
          <idno type="IdRef">238327159</idno>
          <idno type="ISNI">0000000502717600</idno>
          <idno type="ROR">https://ror.org/042tfbd02</idno>
          <idno type="Wikidata">Q48759778</idno>
          <orgName>Institut Polytechnique de Paris</orgName>
          <orgName type="acronym">IP Paris</orgName>
          <date type="start">2019-06-02</date>
          <desc>
            <address>
              <addrLine>Route de Saclay, 91120 Palaiseau Cedex, France</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.ip-paris.fr</ref>
          </desc>
        </org>
        <org type="department" xml:id="struct-89901" status="VALID">
          <orgName>Département Communications, Images et Traitement de l'Information</orgName>
          <orgName type="acronym">TSP - CITI</orgName>
          <desc>
            <address>
              <addrLine>Télécom SudParis - 9 rue Charles Fourier - 91011 Évry cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://citi.telecom-sudparis.eu/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-352124" type="direct"/>
            <relation active="#struct-302102" type="indirect"/>
            <relation name="563936" active="#struct-563936" type="indirect"/>
          </listRelation>
        </org>
        <org type="researchteam" xml:id="struct-1144063" status="VALID">
          <orgName>Statistiques, Optimisation, Probabilités</orgName>
          <orgName type="acronym">SOP - SAMOVAR</orgName>
          <date type="start">2022-10-24</date>
          <desc>
            <address>
              <addrLine>Télécom Sudparis, 9 rue Charles Fourier -91011 Evry-Courcouronnes cedex</addrLine>
              <country key="FR"/>
            </address>
          </desc>
          <listRelation>
            <relation active="#struct-638" type="direct"/>
            <relation active="#struct-352124" type="indirect"/>
            <relation active="#struct-302102" type="indirect"/>
            <relation name="563936" active="#struct-563936" type="indirect"/>
          </listRelation>
        </org>
        <org type="laboratory" xml:id="struct-1002387" status="VALID">
          <idno type="IdRef">201060213</idno>
          <idno type="RNSR">201420648M</idno>
          <idno type="ROR">https://ror.org/03jca6281</idno>
          <idno type="Wikidata">Q51781798</idno>
          <orgName>Laboratoire de Mathématiques et Modélisation d'Evry</orgName>
          <orgName type="acronym">LaMME</orgName>
          <date type="start">2020-01-01</date>
          <desc>
            <address>
              <addrLine>IBGBI, 23 boulevard de France91037 Evry</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.math-evry.cnrs.fr/doku.php</ref>
          </desc>
          <listRelation>
            <relation active="#struct-179741" type="direct"/>
            <relation active="#struct-300306" type="direct"/>
            <relation active="#struct-419361" type="direct"/>
            <relation name="UMR8071" active="#struct-441569" type="direct"/>
            <relation name="UMR8071" active="#struct-577435" type="direct"/>
          </listRelation>
        </org>
        <org type="laboratory" xml:id="struct-92163" status="VALID">
          <idno type="IdRef">193339390</idno>
          <idno type="RNSR">201019079Z</idno>
          <orgName>Statistique, Analyse et Modélisation Multidisciplinaire (SAmos-Marin Mersenne)</orgName>
          <orgName type="acronym">SAMM</orgName>
          <date type="start">2010-01-01</date>
          <desc>
            <address>
              <addrLine>UR4543 SAMM - Statistique, Analyse et Modélisation Multidisciplinaire (SAmos-Marin Mersenne)Centre Pierre Mendès France 90 Rue de Tolbiac - 75634 Paris Cedex 13</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://samm.univ-paris1.fr/</ref>
          </desc>
          <listRelation>
            <relation name="UR4543" active="#struct-7550" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-352124" status="VALID">
          <idno type="IdRef">162347510</idno>
          <idno type="ISNI">0000000406406351</idno>
          <idno type="ROR">https://ror.org/05xvk4r52</idno>
          <idno type="Wikidata">Q43305</idno>
          <orgName>Télécom SudParis</orgName>
          <orgName type="acronym">TSP</orgName>
          <desc>
            <address>
              <addrLine>9 rue Charles Fourier -91011 Evry Cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.telecom-sudparis.eu/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-302102" type="direct"/>
            <relation name="563936" active="#struct-563936" type="direct"/>
          </listRelation>
        </org>
        <org type="regroupinstitution" xml:id="struct-302102" status="VALID">
          <idno type="IdRef">192427156</idno>
          <idno type="ISNI">000000012202567X</idno>
          <idno type="ROR">https://ror.org/025vp2923</idno>
          <idno type="Wikidata">Q27962533</idno>
          <orgName>Institut Mines-Télécom [Paris]</orgName>
          <orgName type="acronym">IMT</orgName>
          <date type="start">2012-03-01</date>
          <desc>
            <address>
              <addrLine>19 Place Marguerite Perey, 91120 Palaiseau</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.imt.fr/</ref>
          </desc>
        </org>
        <org type="laboratory" xml:id="struct-638" status="VALID">
          <idno type="IdRef">281286515</idno>
          <idno type="ISNI">0000000403830480</idno>
          <idno type="RNSR">200319330C</idno>
          <orgName>Services répartis, Architectures, MOdélisation, Validation, Administration des Réseaux</orgName>
          <orgName type="acronym">SAMOVAR</orgName>
          <desc>
            <address>
              <addrLine>Télécom Sudparis, 9 rue Charles Fourier -91011 Evry cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://samovar.telecom-sudparis.eu/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-352124" type="direct"/>
            <relation active="#struct-302102" type="indirect"/>
            <relation name="563936" active="#struct-563936" type="indirect"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-179741" status="VALID">
          <orgName>Ecole Nationale Supérieure d'Informatique pour l'Industrie et l'Entreprise</orgName>
          <orgName type="acronym">ENSIIE</orgName>
          <desc>
            <address>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.ensiie.fr/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-300306" status="VALID">
          <idno type="IdRef">030820529</idno>
          <idno type="ISNI">0000000121805818</idno>
          <idno type="ROR">https://ror.org/00e96v939</idno>
          <idno type="Wikidata">Q1531014</idno>
          <orgName>Université d'Évry-Val-d'Essonne</orgName>
          <orgName type="acronym">UEVE</orgName>
          <date type="start">1991-07-22</date>
          <desc>
            <address>
              <addrLine>Boulevard François Mitterrand 91025 Evry Cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.univ-evry.fr</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-419361" status="VALID">
          <idno type="IdRef">241345251</idno>
          <idno type="ROR">https://ror.org/03xjwb503</idno>
          <orgName>Université Paris-Saclay</orgName>
          <desc>
            <address>
              <addrLine>Bâtiment Bréguet, 3 Rue Joliot Curie 2e ét, 91190 Gif-sur-Yvette</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.universite-paris-saclay.fr/fr</ref>
          </desc>
        </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-577435" status="VALID">
          <idno type="ROR">https://ror.org/003vg9w96</idno>
          <orgName>Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement</orgName>
          <orgName type="acronym">INRAE</orgName>
          <date type="start">2020-01-01</date>
          <desc>
            <address>
              <country key="FR"/>
            </address>
          </desc>
        </org>
        <org type="institution" xml:id="struct-7550" status="VALID">
          <idno type="IdRef">027361802</idno>
          <idno type="ISNI">000000012173743X</idno>
          <idno type="ROR">https://ror.org/002t25c44</idno>
          <orgName>Université Paris 1 Panthéon-Sorbonne</orgName>
          <orgName type="acronym">UP1</orgName>
          <desc>
            <address>
              <addrLine>12 place du Panthéon, 75231 Paris Cedex 05</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.pantheonsorbonne.fr</ref>
          </desc>
        </org>
      </listOrg>
      <listOrg type="projects">
        <org type="anrProject" xml:id="projanr-53380" status="VALID">
          <idno type="anr">ANR-19-CE40-0024</idno>
          <orgName>ChaMaNe</orgName>
          <desc>Enjeux mathématiques issus des neurosciences</desc>
          <date type="start">2019</date>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>