<?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-02988630</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="2026-05-15T03:05:47+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">de Finetti reductions for partially exchangeable probability distributions</title>
            <author role="aut">
              <persName>
                <forename type="first">Ivan</forename>
                <surname>Bardet</surname>
              </persName>
              <email type="md5">26c2fd9ba63a48b37184cf46ec34e6a5</email>
              <email type="domain">gmail.com</email>
              <idno type="idhal" notation="string">ivan-bardet</idno>
              <idno type="idhal" notation="numeric">181422</idno>
              <idno type="halauthorid" notation="string">26882-181422</idno>
              <idno type="IDREF">https://www.idref.fr/196545706</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-6543-6062</idno>
              <affiliation ref="#struct-2549"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Cécilia</forename>
                <surname>Lancien</surname>
              </persName>
              <email type="md5">027903898eeceb673e0a159a9395dfe9</email>
              <email type="domain">gmail.com</email>
              <idno type="idhal" notation="string">cecilia-lancien</idno>
              <idno type="idhal" notation="numeric">748904</idno>
              <idno type="halauthorid" notation="string">1192058-748904</idno>
              <idno type="GOOGLE SCHOLAR">https://scholar.google.com/citations?user=iGFmGgQAAAAJ&amp;hl=fr</idno>
              <affiliation ref="#struct-1954"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Ion</forename>
                <surname>Nechita</surname>
              </persName>
              <email type="md5">3e871f65f0a58a6db040393defef7367</email>
              <email type="domain">irsamc.ups-tlse.fr</email>
              <idno type="idhal" notation="string">ion-nechita</idno>
              <idno type="idhal" notation="numeric">4433</idno>
              <idno type="halauthorid" notation="string">10039-4433</idno>
              <idno type="ARXIV">https://arxiv.org/a/nechita_i_1</idno>
              <idno type="ORCID">https://orcid.org/0000-0003-3016-7795</idno>
              <idno type="IDREF">https://www.idref.fr/133655091</idno>
              <affiliation ref="#struct-633"/>
              <affiliation ref="#struct-388237"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>Ion</forename>
                <surname>Nechita</surname>
              </persName>
              <email type="md5">3e871f65f0a58a6db040393defef7367</email>
              <email type="domain">irsamc.ups-tlse.fr</email>
            </editor>
          </titleStmt>
          <editionStmt>
            <edition n="v1" type="current">
              <date type="whenSubmitted">2020-11-04 18:16:56</date>
              <date type="whenWritten">2018-01</date>
              <date type="whenModified">2025-10-22 18:04:08</date>
              <date type="whenReleased">2020-11-04 18:16:56</date>
              <date type="whenProduced">2018-01</date>
              <ref type="externalLink" target="http://arxiv.org/pdf/1801.05240"/>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="116642">
                <persName>
                  <forename>Ion</forename>
                  <surname>Nechita</surname>
                </persName>
                <email type="md5">3e871f65f0a58a6db040393defef7367</email>
                <email type="domain">irsamc.ups-tlse.fr</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">hal-02988630</idno>
            <idno type="halUri">https://hal.science/hal-02988630</idno>
            <idno type="halBibtex">bardet:hal-02988630</idno>
            <idno type="halRefHtml">2018</idno>
            <idno type="halRef">2018</idno>
            <availability status="restricted"/>
          </publicationStmt>
          <seriesStmt>
            <idno type="stamp" n="UNIV-TLSE2">Université Toulouse 2</idno>
            <idno type="stamp" n="UNIV-TLSE3">Université de Toulouse</idno>
            <idno type="stamp" n="IRSAMC" corresp="UNIV-TLSE3">Institut de Recherche sur les Systèmes Atomiques et Moléculaires Complexes - IRSAMC</idno>
            <idno type="stamp" n="LPT">Laboratoire de Physique Théorique - LPT</idno>
            <idno type="stamp" n="CNRS">CNRS - Centre national de la recherche scientifique</idno>
            <idno type="stamp" n="INSA-TOULOUSE">Institut National des Sciences Appliquées de Toulouse</idno>
            <idno type="stamp" n="IHES">Institut des hautes études scientifiques</idno>
            <idno type="stamp" n="INSMI">CNRS-INSMI - INstitut des Sciences Mathématiques et de leurs Interactions</idno>
            <idno type="stamp" n="IMT">Institut de Mathématiques de Toulouse</idno>
            <idno type="stamp" n="LPT_ICQ" corresp="LPT">Information et Chaos Quantiques</idno>
            <idno type="stamp" n="UT1-CAPITOLE">Université Toulouse 1 Capitole</idno>
            <idno type="stamp" n="TDS-MACS">Réseau de recherche en Théorie des Systèmes Distribués, Modélisation, Analyse et Contrôle des Systèmes</idno>
            <idno type="stamp" n="PREPUBLICTATIONS-IHES">Prépublications de l'IHES</idno>
            <idno type="stamp" n="INSA-GROUPE">Groupe INSA</idno>
            <idno type="stamp" n="TEST-HALCNRS">Collection test HAL CNRS</idno>
            <idno type="stamp" n="UNIV-UT3">Université Toulouse 3</idno>
            <idno type="stamp" n="UT3-INP">Université de Toulouse / Toulouse INP</idno>
            <idno type="stamp" n="UT3-TOULOUSEINP">Université de Toulouse / Toulouse INP</idno>
          </seriesStmt>
          <notesStmt>
            <note type="commentary">22 pages, 1 figure</note>
          </notesStmt>
          <sourceDesc>
            <biblStruct>
              <analytic>
                <title xml:lang="en">de Finetti reductions for partially exchangeable probability distributions</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Ivan</forename>
                    <surname>Bardet</surname>
                  </persName>
                  <email type="md5">26c2fd9ba63a48b37184cf46ec34e6a5</email>
                  <email type="domain">gmail.com</email>
                  <idno type="idhal" notation="string">ivan-bardet</idno>
                  <idno type="idhal" notation="numeric">181422</idno>
                  <idno type="halauthorid" notation="string">26882-181422</idno>
                  <idno type="IDREF">https://www.idref.fr/196545706</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-6543-6062</idno>
                  <affiliation ref="#struct-2549"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Cécilia</forename>
                    <surname>Lancien</surname>
                  </persName>
                  <email type="md5">027903898eeceb673e0a159a9395dfe9</email>
                  <email type="domain">gmail.com</email>
                  <idno type="idhal" notation="string">cecilia-lancien</idno>
                  <idno type="idhal" notation="numeric">748904</idno>
                  <idno type="halauthorid" notation="string">1192058-748904</idno>
                  <idno type="GOOGLE SCHOLAR">https://scholar.google.com/citations?user=iGFmGgQAAAAJ&amp;hl=fr</idno>
                  <affiliation ref="#struct-1954"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Ion</forename>
                    <surname>Nechita</surname>
                  </persName>
                  <email type="md5">3e871f65f0a58a6db040393defef7367</email>
                  <email type="domain">irsamc.ups-tlse.fr</email>
                  <idno type="idhal" notation="string">ion-nechita</idno>
                  <idno type="idhal" notation="numeric">4433</idno>
                  <idno type="halauthorid" notation="string">10039-4433</idno>
                  <idno type="ARXIV">https://arxiv.org/a/nechita_i_1</idno>
                  <idno type="ORCID">https://orcid.org/0000-0003-3016-7795</idno>
                  <idno type="IDREF">https://www.idref.fr/133655091</idno>
                  <affiliation ref="#struct-633"/>
                  <affiliation ref="#struct-388237"/>
                </author>
              </analytic>
              <monogr>
                <imprint/>
              </monogr>
              <idno type="arxiv">1801.05240</idno>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <classCode scheme="halDomain" n="math.math-pr">Mathematics [math]/Probability [math.PR]</classCode>
              <classCode scheme="halDomain" n="math.math-mp">Mathematics [math]/Mathematical Physics [math-ph]</classCode>
              <classCode scheme="halDomain" n="math.math-oa">Mathematics [math]/Operator Algebras [math.OA]</classCode>
              <classCode scheme="halDomain" n="math.math-qa">Mathematics [math]/Quantum Algebra [math.QA]</classCode>
              <classCode scheme="halDomain" n="math.math-co">Mathematics [math]/Combinatorics [math.CO]</classCode>
              <classCode scheme="halDomain" n="math.math-fa">Mathematics [math]/Functional Analysis [math.FA]</classCode>
              <classCode scheme="halDomain" n="phys.mphy">Physics [physics]/Mathematical Physics [math-ph]</classCode>
              <classCode scheme="halDomain" n="phys.qphy">Physics [physics]/Quantum Physics [quant-ph]</classCode>
              <classCode scheme="halTypology" n="UNDEFINED">Preprints, Working Papers, ...</classCode>
              <classCode scheme="halOldTypology" n="UNDEFINED">Preprints, Working Papers, ...</classCode>
              <classCode scheme="halTreeTypology" n="UNDEFINED">Preprints, Working Papers, ...</classCode>
            </textClass>
            <abstract xml:lang="en">
              <p>We introduce a general framework for de Finetti reduction results, applicable to various notions of partially exchangeable probability distributions. Explicit statements are derived for the cases of exchangeability, Markov exchangeability, and some generalizations of these. Our techniques are combinatorial and rely on the "BEST" theorem, enumerating the Eulerian cycles of a multigraph.</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="laboratory" xml:id="struct-2549" status="VALID">
          <orgName>Institut des Hautes Études Scientifiques</orgName>
          <orgName type="acronym">IHES</orgName>
          <desc>
            <address>
              <addrLine>35 route de Chartres 91440 Bures sur Yvette</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.ihes.fr</ref>
          </desc>
          <listRelation>
            <relation active="#struct-300035" type="direct"/>
          </listRelation>
        </org>
        <org type="laboratory" xml:id="struct-1954" status="OLD">
          <idno type="IdRef">166783900</idno>
          <idno type="ISNI">0000000403836348</idno>
          <idno type="RNSR">200711888W</idno>
          <idno type="ROR">https://ror.org/014vp6c30</idno>
          <orgName>Institut de Mathématiques de Toulouse UMR5219</orgName>
          <orgName type="acronym">IMT</orgName>
          <date type="start">2007-01-01</date>
          <date type="end">2025-01-01</date>
          <desc>
            <address>
              <addrLine>UPS IMT, F-31062 Toulouse Cedex 9, INSA Toulouse, F-31077 Toulouse,France UT1, F-31042 Toulouse, France UT2, F-31058 Toulouse,Téléphone : 05.61.55.67.90</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.math.univ-toulouse.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-81148" type="direct"/>
            <relation name="443875" active="#struct-443875" type="indirect"/>
            <relation active="#struct-116255" type="direct"/>
            <relation active="#struct-301232" type="indirect"/>
            <relation active="#struct-443875" type="indirect"/>
            <relation active="#struct-116256" type="direct"/>
            <relation active="#struct-217752" type="direct"/>
            <relation name="UMR5219" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="laboratory" xml:id="struct-633" status="OLD">
          <idno type="IdRef">238570169</idno>
          <idno type="ISNI">0000 0004 0383 019X</idno>
          <idno type="RNSR">200311829Z</idno>
          <idno type="ROR">https://ror.org/01w0hda30</idno>
          <orgName>Laboratoire de Physique Théorique</orgName>
          <orgName type="acronym">LPT</orgName>
          <date type="start">2003-01-01</date>
          <date type="end">2020-12-31</date>
          <desc>
            <address>
              <addrLine>118 route de Narbonne, 31062 Toulouse Cedex 4</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.lpt.ups-tlse.fr/</ref>
          </desc>
          <listRelation>
            <relation name="UMR5152" active="#struct-161123" type="direct"/>
            <relation active="#struct-217752" type="indirect"/>
            <relation active="#struct-443875" type="indirect"/>
            <relation name="FR2568" active="#struct-441569" type="indirect"/>
          </listRelation>
        </org>
        <org type="researchteam" xml:id="struct-388237" status="OLD">
          <orgName>Cohérence Quantique (LPT)</orgName>
          <orgName type="acronym">ICQ</orgName>
          <date type="end">2020-12-31</date>
          <desc>
            <address>
              <addrLine>Laboratoire de Physique Théorique - IRSAMCUniversité Paul SabatierBât. 3R1B4118, route de Narbonne31062 Toulouse Cedex 04</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.quantware.ups-tlse.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-633" type="direct"/>
            <relation name="UMR5152" active="#struct-161123" type="indirect"/>
            <relation active="#struct-217752" type="indirect"/>
            <relation active="#struct-443875" type="indirect"/>
            <relation name="FR2568" active="#struct-441569" type="indirect"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-300035" status="VALID">
          <orgName>IHES</orgName>
          <desc>
            <address>
              <country key="FR"/>
            </address>
          </desc>
        </org>
        <org type="institution" xml:id="struct-81148" status="VALID">
          <idno type="IdRef">026404354</idno>
          <idno type="ISNI">0000000121902837</idno>
          <idno type="ROR">https://ror.org/0443n9e75</idno>
          <orgName>Université Toulouse Capitole</orgName>
          <orgName type="acronym">UT Capitole</orgName>
          <date type="start">1970-01-01</date>
          <desc>
            <address>
              <addrLine>2 rue du Doyen-Gabriel-Marty - 31042 Toulouse Cedex 9</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.ut-capitole.fr/</ref>
          </desc>
          <listRelation>
            <relation name="443875" active="#struct-443875" type="direct"/>
          </listRelation>
        </org>
        <org type="regroupinstitution" xml:id="struct-443875" status="VALID">
          <idno type="ROR">https://ror.org/017tgbk05</idno>
          <orgName>Communauté d'universités et établissements de Toulouse</orgName>
          <orgName type="acronym">Comue de Toulouse</orgName>
          <desc>
            <address>
              <addrLine>41 Allée Jules Guesde, 31000 Toulouse</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.univ-toulouse.fr/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-116255" status="VALID">
          <idno type="IdRef">026388766</idno>
          <idno type="ISNI">0000 0001 2286 8343</idno>
          <idno type="ROR">https://ror.org/01h8pf755</idno>
          <idno type="Wikidata">Q858979</idno>
          <orgName>Institut National des Sciences Appliquées - Toulouse</orgName>
          <orgName type="acronym">INSA Toulouse</orgName>
          <date type="start">1963-10-21</date>
          <desc>
            <address>
              <addrLine>135, avenue de Rangueil - 31077 Toulouse cedex 4</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.insa-toulouse.fr</ref>
          </desc>
          <listRelation>
            <relation active="#struct-301232" type="direct"/>
            <relation active="#struct-443875" type="direct"/>
          </listRelation>
        </org>
        <org type="regroupinstitution" xml:id="struct-301232" status="VALID">
          <idno type="IdRef">162105150</idno>
          <orgName>Institut National des Sciences Appliquées</orgName>
          <orgName type="acronym">INSA</orgName>
          <desc>
            <address>
              <country key="FR"/>
            </address>
          </desc>
        </org>
        <org type="institution" xml:id="struct-116256" status="VALID">
          <idno type="IdRef">026403994</idno>
          <idno type="ROR">https://ror.org/04ezk3x31</idno>
          <orgName>Université Toulouse - Jean Jaurès</orgName>
          <orgName type="acronym">UT2J</orgName>
          <date type="start">1971-01-01</date>
          <desc>
            <address>
              <addrLine>5 allées Antonio Machado - 31058 Toulouse Cedex 9</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.univ-tlse2.fr</ref>
          </desc>
          <listRelation>
            <relation active="#struct-443875" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-217752" status="OLD">
          <idno type="IdRef">026404672</idno>
          <idno type="ISNI">0000000121617331</idno>
          <idno type="ROR">https://ror.org/02v6kpv12</idno>
          <idno type="Wikidata">Q1273188</idno>
          <orgName>Université Toulouse III - Paul Sabatier</orgName>
          <orgName type="acronym">UT3</orgName>
          <date type="end">2025-01-01</date>
          <desc>
            <address>
              <addrLine>118 route de Narbonne - 31062 Toulouse</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.univ-tlse3.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-443875" 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="regrouplaboratory" xml:id="struct-161123" status="OLD">
          <idno type="IdRef">240311884</idno>
          <idno type="ISNI">0000 0004 0587 0136</idno>
          <idno type="RNSR">200310664H</idno>
          <idno type="ROR">https://ror.org/02h158026</idno>
          <orgName>Institut de Recherche sur les Systèmes Atomiques et Moléculaires Complexes</orgName>
          <orgName type="acronym">IRSAMC</orgName>
          <desc>
            <address>
              <addrLine>UPS - IRSAMC. - Bat. IIIr1-B4. - 118 route de Narbonne 31062 Toulouse cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.irsamc.ups-tlse.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-217752" type="direct"/>
            <relation active="#struct-443875" type="indirect"/>
            <relation name="FR2568" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>