<?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-00484666</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="2026-05-17T18:33:26+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">Trees, functional equations, and combinatorial Hopf algebras</title>
            <author role="aut">
              <persName>
                <forename type="first">Florent</forename>
                <surname>Hivert</surname>
              </persName>
              <email type="md5">47ff8a87d0f424e8b6c4d5843fdce17c</email>
              <email type="domain">lri.fr</email>
              <idno type="idhal" notation="string">florent-hivert</idno>
              <idno type="idhal" notation="numeric">3065</idno>
              <idno type="halauthorid" notation="string">18079-3065</idno>
              <idno type="IDREF">https://www.idref.fr/118402129</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-7531-5985</idno>
              <idno type="ISNI">http://isni.org/isni/0000000358431105</idno>
              <idno type="VIAF">https://viaf.org/viaf/204935359</idno>
              <affiliation ref="#struct-23832"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Jean-Christophe</forename>
                <surname>Novelli</surname>
              </persName>
              <idno type="idhal" notation="numeric">1286032</idno>
              <idno type="halauthorid" notation="string">125132-1286032</idno>
              <idno type="IDREF">https://www.idref.fr/050202596</idno>
              <idno type="VIAF">https://viaf.org/viaf/22298994</idno>
              <affiliation ref="#struct-3210"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Jean-Yves</forename>
                <surname>Thibon</surname>
              </persName>
              <email type="md5">deae7a2fd5b1662043d43891e181b1f8</email>
              <email type="domain">univ-mlv.fr</email>
              <idno type="idhal" notation="string">jean-yves-thibon</idno>
              <idno type="idhal" notation="numeric">4928</idno>
              <idno type="halauthorid" notation="string">15949-4928</idno>
              <idno type="IDREF">https://www.idref.fr/033276498</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-8976-4044</idno>
              <affiliation ref="#struct-3210"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>Florent</forename>
                <surname>Hivert</surname>
              </persName>
              <email type="md5">47ff8a87d0f424e8b6c4d5843fdce17c</email>
              <email type="domain">lri.fr</email>
            </editor>
            <funder ref="#projanr-1496"/>
          </titleStmt>
          <editionStmt>
            <edition n="v1" type="current">
              <date type="whenSubmitted">2010-05-18 18:09:55</date>
              <date type="whenWritten">2007</date>
              <date type="whenModified">2026-04-02 11:58:01</date>
              <date type="whenReleased">2010-05-18 18:09:55</date>
              <date type="whenProduced">2008</date>
              <ref type="externalLink" target="http://arxiv.org/pdf/math/0701539"/>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="151514">
                <persName>
                  <forename>Florent</forename>
                  <surname>Hivert</surname>
                </persName>
                <email type="md5">47ff8a87d0f424e8b6c4d5843fdce17c</email>
                <email type="domain">lri.fr</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">hal-00484666</idno>
            <idno type="halUri">https://hal.science/hal-00484666</idno>
            <idno type="halBibtex">hivert:hal-00484666</idno>
            <idno type="halRefHtml">&lt;i&gt;European Journal of Combinatorics&lt;/i&gt;, 2008, 29 (7), pp.1682--1695. &lt;a target="_blank" href="https://dx.doi.org/10.1016/j.ejc.2007.09.005"&gt;&amp;#x27E8;10.1016/j.ejc.2007.09.005&amp;#x27E9;&lt;/a&gt;</idno>
            <idno type="halRef">European Journal of Combinatorics, 2008, 29 (7), pp.1682--1695. &amp;#x27E8;10.1016/j.ejc.2007.09.005&amp;#x27E9;</idno>
            <availability status="restricted"/>
          </publicationStmt>
          <seriesStmt>
            <idno type="stamp" n="ENPC" corresp="PARISTECH">École nationale des ponts et chaussées </idno>
            <idno type="stamp" n="CNRS">CNRS - Centre national de la recherche scientifique</idno>
            <idno type="stamp" n="UNIV-MLV">Université de Marne la Vallée</idno>
            <idno type="stamp" n="INSA-ROUEN">Institut National des Sciences Appliquées de Rouen</idno>
            <idno type="stamp" n="LIGM_COMBI" corresp="LIGM">Algebraic combinatorics and symbolic computation</idno>
            <idno type="stamp" n="LITIS">Laboratoire d'Informatique, de Traitement de l'Information et des Systèmes</idno>
            <idno type="stamp" n="PARISTECH">ParisTech</idno>
            <idno type="stamp" n="ENPC-LIGM" corresp="ENPC">Laboratoire d'informatique Gaspard-Monge</idno>
            <idno type="stamp" n="LIGM" corresp="ENPC">Laboratoire d'informatique Gaspard-Monge</idno>
            <idno type="stamp" n="CV_UNIV-MLV">CV des membres de l'Université de Marne-la-vallée</idno>
            <idno type="stamp" n="CV_LIGM" corresp="CV_UNIV-MLV">CV des membres du LIGM</idno>
            <idno type="stamp" n="COMUE-NORMANDIE">Normandie Université</idno>
            <idno type="stamp" n="UNIROUEN">Université de Rouen Normandie</idno>
            <idno type="stamp" n="UNILEHAVRE">Université Le Havre Normandie</idno>
            <idno type="stamp" n="INSA-GROUPE">Groupe INSA</idno>
            <idno type="stamp" n="ANR">ANR</idno>
            <idno type="stamp" n="UNIV-EIFFEL">Université Gustave Eiffel</idno>
            <idno type="stamp" n="UPEM-UNIVEIFFEL">Université Paris-Est Marne-la-Vallée</idno>
            <idno type="stamp" n="ESIEE-UNIVEIFFEL">ESIEE Paris</idno>
            <idno type="stamp" n="TEST3-HALCNRS">TEST3-HALCNRS</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">Trees, functional equations, and combinatorial Hopf algebras</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Florent</forename>
                    <surname>Hivert</surname>
                  </persName>
                  <email type="md5">47ff8a87d0f424e8b6c4d5843fdce17c</email>
                  <email type="domain">lri.fr</email>
                  <idno type="idhal" notation="string">florent-hivert</idno>
                  <idno type="idhal" notation="numeric">3065</idno>
                  <idno type="halauthorid" notation="string">18079-3065</idno>
                  <idno type="IDREF">https://www.idref.fr/118402129</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-7531-5985</idno>
                  <idno type="ISNI">http://isni.org/isni/0000000358431105</idno>
                  <idno type="VIAF">https://viaf.org/viaf/204935359</idno>
                  <affiliation ref="#struct-23832"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Jean-Christophe</forename>
                    <surname>Novelli</surname>
                  </persName>
                  <idno type="idhal" notation="numeric">1286032</idno>
                  <idno type="halauthorid" notation="string">125132-1286032</idno>
                  <idno type="IDREF">https://www.idref.fr/050202596</idno>
                  <idno type="VIAF">https://viaf.org/viaf/22298994</idno>
                  <affiliation ref="#struct-3210"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Jean-Yves</forename>
                    <surname>Thibon</surname>
                  </persName>
                  <email type="md5">deae7a2fd5b1662043d43891e181b1f8</email>
                  <email type="domain">univ-mlv.fr</email>
                  <idno type="idhal" notation="string">jean-yves-thibon</idno>
                  <idno type="idhal" notation="numeric">4928</idno>
                  <idno type="halauthorid" notation="string">15949-4928</idno>
                  <idno type="IDREF">https://www.idref.fr/033276498</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-8976-4044</idno>
                  <affiliation ref="#struct-3210"/>
                </author>
              </analytic>
              <monogr>
                <idno type="halJournalId" status="VALID">13025</idno>
                <idno type="issn">0195-6698</idno>
                <idno type="eissn">1095-9971</idno>
                <title level="j">European Journal of Combinatorics</title>
                <imprint>
                  <publisher>Elsevier</publisher>
                  <biblScope unit="volume">29</biblScope>
                  <biblScope unit="issue">7</biblScope>
                  <biblScope unit="pp">1682--1695</biblScope>
                  <date type="datePub">2008</date>
                </imprint>
              </monogr>
              <idno type="arxiv">math/0701539</idno>
              <idno type="doi">10.1016/j.ejc.2007.09.005</idno>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <classCode scheme="halDomain" n="math.math-co">Mathematics [math]/Combinatorics [math.CO]</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>One of the main virtues of trees is the representation of formal solutions of various functional equations which can be cast in the form of fixed point problems. Basic examples include differential equations and functional (Lagrange) inversion in power series rings. When analyzed in terms of combinatorial Hopf algebras, the simplest examples yield interesting algebraic identities or enumerative results.</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="laboratory" xml:id="struct-23832" status="OLD">
          <idno type="IdRef">110731867</idno>
          <idno type="RNSR">200615352R</idno>
          <orgName>Laboratoire d'Informatique, de Traitement de l'Information et des Systèmes</orgName>
          <orgName type="acronym">LITIS</orgName>
          <date type="start">2006-01-01</date>
          <date type="end">2021-12-31</date>
          <desc>
            <address>
              <addrLine>Avenue de l'Université 76800 Saint-Étienne-du-Rouvray</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.litislab.eu</ref>
          </desc>
          <listRelation>
            <relation active="#struct-300317" type="direct"/>
            <relation active="#struct-455934" type="indirect"/>
            <relation name="EA4108" active="#struct-300318" type="direct"/>
            <relation active="#struct-301288" type="direct"/>
            <relation active="#struct-301232" type="indirect"/>
          </listRelation>
        </org>
        <org type="laboratory" xml:id="struct-3210" status="OLD">
          <idno type="IdRef">142877891</idno>
          <idno type="ISNI">0000000091039111</idno>
          <idno type="RNSR">200212717U</idno>
          <idno type="ROR">https://ror.org/04t50yk91</idno>
          <orgName>Laboratoire d'Informatique Gaspard-Monge</orgName>
          <orgName type="acronym">LIGM</orgName>
          <date type="start">1992-01-01</date>
          <date type="end">2019-12-31</date>
          <desc>
            <address>
              <addrLine>Université de Paris-Est Marne-la-Vallée, Cité Descartes, Bâtiment Copernic, 5 bd Descartes, 77454 Marne-la-Vallée Cedex 2</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://ligm.u-pem.fr</ref>
          </desc>
          <listRelation>
            <relation active="#struct-301243" type="direct"/>
            <relation active="#struct-301545" type="direct"/>
            <relation active="#struct-302035" type="direct"/>
            <relation active="#struct-302085" type="direct"/>
            <relation name="FRA3522 / FR3522" active="#struct-441569" type="direct"/>
            <relation name="UMR8049" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-300317" status="VALID">
          <idno type="IdRef">031308570</idno>
          <idno type="ISNI">0000000121731046</idno>
          <idno type="ROR">https://ror.org/05v509s40</idno>
          <orgName>Université Le Havre Normandie</orgName>
          <orgName type="acronym">ULH</orgName>
          <date type="start">1984-08-27</date>
          <desc>
            <address>
              <addrLine>25 rue Philippe Lebon - BP 1123 - 76063 Le Havre Cedex France</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.univ-lehavre.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-455934" type="direct"/>
          </listRelation>
        </org>
        <org type="regroupinstitution" xml:id="struct-455934" status="VALID">
          <idno type="IdRef">190906332</idno>
          <idno type="ISNI">0000000417859671 </idno>
          <idno type="ROR">https://ror.org/01k40cz91</idno>
          <orgName>Normandie Université</orgName>
          <orgName type="acronym">NU</orgName>
          <date type="start">2015-01-01</date>
          <desc>
            <address>
              <addrLine>Esplanade de la Paix - CS 14032 - 14032 Caen Cedex 5</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.normandie-univ.fr/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-300318" status="VALID">
          <idno type="IdRef">026403919</idno>
          <idno type="ISNI">0000000121083034</idno>
          <idno type="ROR">https://ror.org/03nhjew95</idno>
          <orgName>Université de Rouen Normandie</orgName>
          <orgName type="acronym">UNIROUEN</orgName>
          <date type="start">1966-01-01</date>
          <desc>
            <address>
              <addrLine>1, rue Thomas Becket 76821 Mont-Saint-Aignan Cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.univ-rouen.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-455934" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-301288" status="VALID">
          <idno type="IdRef">033364346</idno>
          <idno type="ISNI">0000000121908462</idno>
          <idno type="ROR">https://ror.org/020ws7586</idno>
          <orgName>Institut national des sciences appliquées Rouen Normandie</orgName>
          <orgName type="acronym">INSA Rouen Normandie</orgName>
          <date type="start">1985-01-01</date>
          <desc>
            <address>
              <addrLine>Avenue de l’Université 76801 Saint-Étienne-du-Rouvray Cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.insa-rouen.fr</ref>
          </desc>
          <listRelation>
            <relation active="#struct-301232" type="direct"/>
            <relation active="#struct-455934" 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-301243" status="OLD">
          <idno type="IdRef">030820499</idno>
          <idno type="ISNI">0000000115124813</idno>
          <idno type="ROR">https://ror.org/02aqt9c37</idno>
          <orgName>Université Paris-Est Marne-la-Vallée</orgName>
          <orgName type="acronym">UPEM</orgName>
          <date type="start">1991-07-22</date>
          <date type="end">2019-12-31</date>
          <desc>
            <address>
              <addrLine>5 boulevard Descartes - Champs-sur-Marne - 77454 Marne-la-Vallée Cedex 2</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.u-pem.fr/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-301545" status="OLD">
          <idno type="ROR">https://ror.org/02nwvxz07</idno>
          <orgName>École nationale des ponts et chaussées</orgName>
          <orgName type="acronym">ENPC</orgName>
          <date type="start">1747-02-14</date>
          <date type="end">2024-12-31</date>
          <desc>
            <address>
              <addrLine>École nationale des ponts et chaussées, 6-8 avenue Blaise-Pascal, Cité Descartes, Champs-sur-Marne, 77455 Marne-la-Vallée cedex 2</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://ecoledesponts.fr/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-302035" status="VALID">
          <idno type="RNSR">199814079S</idno>
          <orgName>ESIEE Paris</orgName>
          <date type="start">2016-11-25</date>
          <desc>
            <address>
              <addrLine>2 boulevard Blaise PascalCité DescartesBP 9993162 Noisy-le-Grand Cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.esiee.fr</ref>
          </desc>
        </org>
        <org type="regrouplaboratory" xml:id="struct-302085" status="VALID">
          <idno type="RNSR">201220485U</idno>
          <orgName>Fédération de Recherche Bézout</orgName>
          <orgName type="acronym">BEZOUT</orgName>
          <date type="start">2012-01-01</date>
          <desc>
            <address>
              <addrLine>5, bd Descartes, Champs-sur-Marne77455 Marne-la-Vallée Cedex 2 – France</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://labex-bezout.fr/bezout-federation/</ref>
          </desc>
          <listRelation>
            <relation name="FRA3522 / FR3522" active="#struct-441569" 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>
      </listOrg>
      <listOrg type="projects">
        <org type="anrProject" xml:id="projanr-1496" status="VALID">
          <idno type="anr">ANR-06-BLAN-0380</idno>
          <idno type="program">Programme "blanc"</idno>
          <orgName>HOPFCOMBOP</orgName>
          <desc>Algèbres de Hopf combinatoires, opérades et props</desc>
          <date type="start">2006</date>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>