{"id":31,"date":"2021-09-09T09:36:18","date_gmt":"2021-09-09T07:36:18","guid":{"rendered":"https:\/\/perso.imj-prg.fr\/frederic-leroux\/?page_id=31"},"modified":"2024-12-12T18:44:38","modified_gmt":"2024-12-12T17:44:38","slug":"recherche","status":"publish","type":"page","link":"https:\/\/perso.imj-prg.fr\/frederic-leroux\/recherche\/","title":{"rendered":"Recherche"},"content":{"rendered":"\n<div style=\"text-align: justify\"><img decoding=\"async\" style=\"border: 1px solid;width: 216px;height: 143px\" src=\"https:\/\/perso.imj-prg.fr\/frederic-leroux\/wp-content\/uploads\/leroux-pub\/RECHERCHE\/Reeb-germe.jpg\" alt=\"\" hspace=\"10\" align=\"left\"><img decoding=\"async\" style=\"border: 1px solid;width: 199px;height: 145px\" src=\"https:\/\/perso.imj-prg.fr\/frederic-leroux\/wp-content\/uploads\/leroux-pub\/RECHERCHE\/Structure%20Brouwer.jpg\" alt=\"\" hspace=\"10\" align=\"right\">Mes\ntravaux portent principalement sur la dynamique des hom\u00e9omorphismes\nde surface :\nj&rsquo;\u00e9tudie d&rsquo;une part la dynamique locale (c&rsquo;est-\u00e0-dire au voisinage d&rsquo;un\npoint fixe), d&rsquo;autre part les divers avatars des nombres de rotation.\nPlus r\u00e9cemment, je m&rsquo;int\u00e9resse aux groupes d&rsquo;hom\u00e9omorphismes et de\ndiff\u00e9omorphismes, et aux hom\u00e9omorphismes hamiltoniens.\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\"><a>Liste de publications et pr\u00e9publications<\/a><\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/perso.imj-prg.fr\/frederic-leroux\/wp-content\/uploads\/leroux-pub\/RECHERCHE\/TEXTES\/0-LE%20ROUX-These-97.pdf\">\u00c9tude topologique de l&rsquo;espace des hom\u00e9omorphismes de Brouwer<\/a>, Th\u00e8se de l&rsquo;institut Fourier.<\/li>\n\n\n\n<li><a href=\"http:\/\/www.math.u-psud.fr\/%7Eleroux\/RECHERCHE\/reebconj.pdf\">Classes de conjugaison des flots du plan topologiquement \u00e9quivalents au flot de Reeb<\/a>. <em>C. R. A. S.<\/em> 328 (1999) no1, p. 45-50.<\/li>\n\n\n\n<li><a href=\"http:\/\/www.math.u-psud.fr\/%7Eleroux\/RECHERCHE\/recurrent-set.pdf\">Bounded recurrent sets for planar homeomorphisms<\/a>. <em>Ergodic Theory and Dynamical Systems<\/em> 19 (1999), no 4, p 1085-1091.<\/li>\n\n\n\n<li>Migration des points errants d&rsquo;un hom\\&rsquo;eomorphisme de surface. <em>C. R. A. S.<\/em> 330 (2000), no 3, p. 225\u2013230.<\/li>\n\n\n\n<li><a href=\"http:\/\/www.math.u-psud.fr\/%7Eleroux\/RECHERCHE\/Topoun.pdf\">Etude topologique de l&rsquo;espace des hom\u00e9omorphismes de Brouwer (I)<\/a>. <em>Topology<\/em> 40 (2001), 1051-1087.<\/li>\n\n\n\n<li><a href=\"http:\/\/www.math.u-psud.fr\/%7Eleroux\/RECHERCHE\/Topodeu.pdf\">Etude topologique de l&rsquo;espace des hom\u00e9omorphismes de Brouwer (II)<\/a>. <em>Topology<\/em> 40 (2001), 1089-1121.<\/li>\n\n\n\n<li><a href=\"http:\/\/www.math.u-psud.fr\/%7Eleroux\/RECHERCHE\/cbfinal.pdf\">Il n&rsquo;y a pas de classification bor\u00e9lienne des hom\u00e9omorphismes de Brouwer<\/a>. <em>Ergodic Theory and Dynamical Systems<\/em> 21 (2001), 233-247.<\/li>\n\n\n\n<li>Avec Fran\u00e7ois B\u00e9guin, <a href=\"http:\/\/smf4.emath.fr\/Publications\/Bulletin\/131\/html\/smf_bull_131_149-210.html\">Ensemble oscillant d&rsquo;un hom\u00e9omorphisme de Brouwer, hom\u00e9omorphismes de Reeb<\/a>. <em>Bull. Soc. Math. France<\/em> 131 (2003), 149-210.<\/li>\n\n\n\n<li>Avec Fran\u00e7ois B\u00e9guin, Sylvain Crovisier et Alice Patou, <a href=\"http:\/\/arxiv.org\/abs\/math\/0309477\">Pseudo-rotations of the closed annulus : variation on a theorem of J. Kwapisz<\/a>. <em>Nonlinearity<\/em> 17 (2004) 1427-1453.<\/li>\n\n\n\n<li><a href=\"http:\/\/arxiv.org\/abs\/math\/0210344\">Dynamique des hom\u00e9omorphismes de surfaces, Versions topologiques des th\u00e9or\u00e8mes de la fleur de Leau-Fatou<strong> <\/strong>et de la vari\u00e9t\u00e9 stable<\/a>. <em>Ast\u00e9risque<\/em> 292 (2004).<\/li>\n\n\n\n<li><a href=\"http:\/\/arxiv.org\/abs\/math\/0403406\">Structure des hom\u00e9omorphismes de Brouwer<\/a>. <em>Geometry &amp; Topology<\/em> 9 (2005), 1689-1774.<\/li>\n\n\n\n<li>Avec Fran\u00e7ois B\u00e9guin et Sylvain Crovisier, <a href=\"http:\/\/arxiv.org\/abs\/math\/0506041\">Pseudo-rotations of the open annulus<\/a>, <em>Bull. Braz. Math. Soc.<\/em> (N.S.) 37 (2006), no. 2, 275-306.<\/li>\n\n\n\n<li>Avec Fran\u00e7ois B\u00e9guin et Sylvain Crovisier, <a href=\"http:\/\/arxiv.org\/abs\/math\/0605438\">Construction of curious minimal uniquely ergodic homeomorphisms on manifolds: the Denjoy-Rees technique<\/a>, <em>Ann. Sci. \u00c9cole Norm. Sup.<\/em> (4) 40 (2007), no. 2, 251\u2013308.<\/li>\n\n\n\n<li><a href=\"http:\/\/arxiv.org\/abs\/0709.1398\">A topological characterization of holomorphic parabolic germs in the plane<\/a>. <em>Fund. Math.<\/em> 198 (2008), no. 1, 77\u201394<strong>.<\/strong><\/li>\n\n\n\n<li>Avec Fran\u00e7ois B\u00e9guin, Sylvain Crovisier et Tobias J\u00e4ger, <a href=\"http:\/\/arxiv.org\/abs\/0707.4373\">Denjoy constructions for fibered homeomorphisms of the torus<\/a>, <em>Trans. Amer. Math. Soc.<\/em> 361 (2009), no. 11, 5851\u20135883.<\/li>\n\n\n\n<li><a href=\"http:\/\/www.umpa.ens-lyon.fr\/%7Esymplexe\/Documents\/Hofer-metric2.pdf\">Six questions, a proposition and two pictures on Hofer distance for hamiltonian diffeomorphisms on surfaces<\/a>, <em>Proceedings of the 2007 AMS-SIAM Summer Research Conference \u201d Symplectic Topology and Measure preserving Dynamical Systems\u201d, Snowbird, UT, Contemporary Math.<\/em>, 2010.<br><\/li>\n\n\n\n<li><a href=\"http:\/\/arxiv.org\/abs\/0901.2428\">Simplicity of homeo(D2, \u2202D2, Area) and fragmentation of symplectic diffeomorphisms<\/a>, <em>J. Symplectic Geom.<\/em> Volume 8, Number 1 (2010), 73-93.<\/li>\n\n\n\n<li><a href=\"http:\/\/arxiv.org\/abs\/math\/0506042\">Un indice qui affine l&rsquo;indice de Poincar\u00e9-Lefschetz pour les hom\\&rsquo;eomorphismes de surfaces<\/a>, <em>Annals of Math<\/em> <a href=\"http:\/\/annals.princeton.edu\/annals\/2010\/171-3\/p03.xhtml\">Vol. 171 (2010), No. 3, 1531\u20131589<\/a>.<\/li>\n\n\n\n<li><a href=\"http:\/\/arxiv.org\/abs\/1101.3137\">Free planar actions of the Klein bottle group<\/a>, <em>Geometry &amp; Topology<\/em> 15 (2011),&nbsp; 1545\u20131567.<\/li>\n\n\n\n<li>Avec Anthony O&rsquo;Farrell, Maria Roginskaya, Ian Short, <a href=\"http:\/\/arxiv.org\/abs\/0912.2012\">Flowability of plane homeomorphisms<\/a><em>, Annales de l&rsquo;Institut Fourier<\/em>, 62(2) (2012),&nbsp; 619\u2013639.<\/li>\n\n\n\n<li><a href=\"http:\/\/arxiv.org\/abs\/1004.5270\">There is no minimal action of Z^2 on the plane<\/a>, <em>Ergodic Theory and Dynamical Systems,<\/em> 32 (1) (2012),&nbsp; 167-172.<\/li>\n\n\n\n<li>Avec Fran\u00e7ois B\u00e9guin et Sylvain Crovisier, <a href=\"http:\/\/arxiv.org\/abs\/0807.3260\">Realisation of measured dynamics as uniquely ergodic minimal homeomorphisms on manifolds<\/a>.&nbsp; <em>Math. Z.<\/em> 270 (2012), no. 1-2, 59\u2013102.<br><\/li>\n\n\n\n<li><a href=\"http:\/\/tel.archives-ouvertes.fr\/tel-00349243\/en\/\">L&rsquo;ensemble de rotation autour d&rsquo;un point fixe d&rsquo;hom\u00e9omorphisme de surface<\/a>, <em>Ast\u00e9risque<\/em> 350 (2013).<\/li>\n\n\n\n<li><a href=\"http:\/\/jep.cedram.org\/jep-bin\/fitem?id=JEP_2014__1__147_0\">On closed subgroups of the group of homeomorphisms of a manifold<\/a>, Journal de l&rsquo;\u00c9cole polytechnique \u2014 Math\u00e9matiques, 1 (2014), p. 147-159.<\/li>\n\n\n\n<li>Avec Vincent Humili\u00e8re et Sobhan Seyfaddini <a href=\"http:\/\/arxiv.org\/abs\/1502.03834\">Towards a dynamical interpretation of Hamiltonian spectral invariants on surfaces<\/a>,&nbsp;<em> Geom. Topol. <\/em>20 (2016), no. 4, 2253\u20132334.<\/li>\n\n\n\n<li><a href=\"https:\/\/arxiv.org\/abs\/1401.2333\">An index for Brouwer homeomorphisms and homotopy Brouwer theory.<\/a><em> Ergodic Theory Dynam. Systems <\/em>37 (2017), no. 2, 572\u2013605.<\/li>\n\n\n\n<li>Avec Katie Mann, <a href=\"https:\/\/arxiv.org\/abs\/1610.06720\">Strong distorsion in transformation groups<\/a><em>,<\/em> <em>Bull. Lond. Math. Soc.<\/em> 50 (2018), no. 1, 46\u201362.<\/li>\n\n\n\n<li>Avec Louis Hauseux, <a href=\"http:\/\/www.numdam.org\/articles\/10.5802\/ahl.12\/\">Entropie polynomiale des hom\u00e9omorphismes de Brouwer<\/a>, Annales Henri Lebesgue, Tome 2 (2019), pp. 39-57.<\/li>\n\n\n\n<li>Avec Fran\u00e7ois B\u00e9guin et Sylvain Crovisier, <a href=\"https:\/\/arxiv.org\/abs\/1610.00686\">Fixed point sets of isotopies on surfaces<\/a>, <em>J. Eur. Math. Soc. (JEMS)<\/em> 22 (2020), no. 6, 1971\u20132046.<\/li>\n\n\n\n<li>Avec Seyfaddini, Sobhan; Viterbo, Claude <a href=\"https:\/\/arxiv.org\/abs\/1810.03139\">Barcodes and area-preserving homeomorphisms. <\/a><em>Geom. Topol.<\/em> 25 (2021), no. 6, 2713\u20132825.<\/li>\n\n\n\n<li>Avec Seyfaddini, Sobhan <a href=\"https:\/\/arxiv.org\/abs\/2010.06237\">The Anosov-Katok method and pseudo-rotations in symplectic dynamics<\/a>, <em>J. Fixed Point Theory Appl.<\/em> 24 (2022), no. 2, No. 36, 39 pp.<em><br><\/em><\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\"><a>Notes de cours<\/a><\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/perso.imj-prg.fr\/frederic-leroux\/wp-content\/uploads\/leroux-pub\/RECHERCHE\/TEXTES\/dynamique-locale4.pdf\">Points fixes des hom\u00e9omorphismes de surfaces<\/a>, notes d&rsquo;un mini-cours \u00e0 l&rsquo;\u00e9cole d&rsquo;\u00e9t\u00e9 de Grenoble, Juin 2006.<\/li>\n\n\n\n<li><a href=\"https:\/\/perso.imj-prg.fr\/frederic-leroux\/wp-content\/uploads\/leroux-pub\/RECHERCHE\/TEXTES\/dynamique-surface.pdf\">Dynamique topologique sur les surfaces<\/a>, notes d&rsquo;un cours de M2 avec Fran\u00e7ois B\u00e9guin, f\u00e9vrier 2007.<\/li>\n\n\n\n<li><a href=\"https:\/\/perso.imj-prg.fr\/frederic-leroux\/wp-content\/uploads\/leroux-pub\/RECHERCHE\/TEXTES\/rennes08-4.pdf\">Dynamique locale des hom\u00e9omorphismes de surfaces<\/a>, notes d&rsquo;un mini-cours \u00e0 Rennes, groupe <a href=\"http:\/\/www.umpa.ens-lyon.fr\/%7Esymplexe\/\">Symplexe<\/a>, mars 2008.<\/li>\n\n\n\n<li><a href=\"https:\/\/perso.imj-prg.fr\/frederic-leroux\/wp-content\/uploads\/leroux-pub\/RECHERCHE\/TEXTES\/pise4.pdf\">Measure preserving homeomorphisms of the torus<\/a>, notes d&rsquo;un mini-cours \u00e0 l&rsquo;ENS Pise, janvier 2010.<\/li>\n\n\n\n<li><a href=\"https:\/\/perso.imj-prg.fr\/frederic-leroux\/wp-content\/uploads\/leroux-pub\/RECHERCHE\/TEXTES\/Handel%20introduction8.pdf\">An introduction to Handel\u2019s homotopy Brouwer theory<\/a>, notes compl\u00e8tes d&rsquo;un mini-cours \u00e0 Montevideo, mars 2012.<\/li>\n\n\n\n<li><a href=\"https:\/\/dropsu.sorbonne-universite.fr\/s\/xtgkAkHJt6HmZ8s\">Un chemin de fer invariant<\/a><br><\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\"><a>Encadrement<\/a><\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Katharina Pabst, <a href=\"https:\/\/perso.imj-prg.fr\/frederic-leroux\/wp-content\/uploads\/leroux-pub\/RECHERCHE\/TEXTES\/PAST-Ruelle.pdf\">L&rsquo;invariant de Ruelle<\/a>, m\u00e9moire de M2, juillet 2005.<\/li>\n\n\n\n<li><a href=\"http:\/\/www.math.u-psud.fr\/%7Ebounemoura\/\">Abed Bounemoura<\/a>, <a href=\"https:\/\/perso.imj-prg.fr\/frederic-leroux\/wp-content\/uploads\/leroux-pub\/RECHERCHE\/TEXTES\/BOUNEMOURA-simplicite.pdf\">Simplicit\u00e9 des groupes de transformations de surfaces<\/a> livre issu du m\u00e9moire de M2, juin 2007<a href=\"http:\/\/www.math.u-psud.fr\/%7Emiliton\/\">.<\/a><\/li>\n\n\n\n<li><a href=\"http:\/\/www.math.u-psud.fr\/%7Emiliton\/\">Emmanuel Militon<\/a>, <a href=\"https:\/\/perso.imj-prg.fr\/frederic-leroux\/wp-content\/uploads\/leroux-pub\/RECHERCHE\/TEXTES\/MILITON-normessurlesgroupes-final.pdf\">Normes invariantes par conjugaison sur Diff(M)<\/a>, m\u00e9moire de M2, juillet 2009.<\/li>\n\n\n\n<li>Kevin Corbineau, <a href=\"https:\/\/perso.imj-prg.fr\/frederic-leroux\/wp-content\/uploads\/leroux-pub\/RECHERCHE\/TEXTES\/Corbineau_Me%CC%81moire.pdf\">Une introduction au probl\u00e8me g\u00e9n\u00e9ralis\u00e9 de la r\u00e9alisation de Nielsen<\/a>, juillet 2010.<\/li>\n\n\n\n<li>Jonathan Conejeros, <a href=\"https:\/\/perso.imj-prg.fr\/frederic-leroux\/wp-content\/uploads\/leroux-pub\/RECHERCHE\/TEXTES\/memoire-2207.pdf\">G\u00e9om\u00e9trie hyperbolique des surfaces non compactes<\/a>, juillet 2012.<\/li>\n\n\n\n<li><a href=\"http:\/\/www.math.u-psud.fr\/%7Emiliton\/\">Emmanuel Militon<\/a>, <a href=\"https:\/\/perso.imj-prg.fr\/frederic-leroux\/wp-content\/uploads\/leroux-pub\/RECHERCHE\/TEXTES\/MILITON-thesecomplete-9.pdf\">Fragmentation et propri\u00e9t\u00e9 alg\u00e9briques des groupes d&rsquo;hom\u00e9omorphismes<\/a>, th\u00e8se, novembre 2012.<\/li>\n\n\n\n<li>Juliette Bavard, <a href=\"https:\/\/perso.imj-prg.fr\/frederic-leroux\/wp-content\/uploads\/leroux-pub\/RECHERCHE\/TEXTES\/memoire-M2-27mai.pdf\">Quasi-morphismes sur le groupe des tresses<\/a>, mai 2013.<\/li>\n\n\n\n<li>Jaouad Mourtada, <a href=\"https:\/\/perso.imj-prg.fr\/frederic-leroux\/wp-content\/uploads\/leroux-pub\/RECHERCHE\/TEXTES\/Memoire-Mourtada-06-10.pdf\">Morphismes entre les groupes de diff\u00e9omorphismes des vari\u00e9t\u00e9s<\/a>, septembre 2015.<\/li>\n\n\n\n<li>Jonathan Conejeros, <a href=\"https:\/\/perso.imj-prg.fr\/frederic-leroux\/wp-content\/uploads\/leroux-pub\/RECHERCHE\/TEXTES\/JONATHAN-these.pdf\">Etude de l&rsquo;ensemble de rotation local<\/a>, th\u00e8se, octobre 2015.<\/li>\n\n\n\n<li><a href=\"https:\/\/webusers.imj-prg.fr\/%7Ejuliette.bavard\/\">Juliette Bavard<\/a>, <a href=\"https:\/\/perso.imj-prg.fr\/frederic-leroux\/wp-content\/uploads\/leroux-pub\/RECHERCHE\/TEXTES\/BAVARD-These-final.pdf\">Dynamique topologique sur les surfaces : gros groupe modulaire et classes de Brouwer<\/a>, th\u00e8se, d\u00e9cembre 2015.<\/li>\n\n\n\n<li>Louis Hauseux, <a href=\"https:\/\/perso.imj-prg.fr\/frederic-leroux\/wp-content\/uploads\/leroux-pub\/RECHERCHE\/TEXTES\/HAUSEUX-entropie-polynomiale%20.pdf\">Entropie polynomiale et hom\u00e9omorphismes de Brouwer<\/a>, septembre 2016.<br><\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/perso.imj-prg.fr\/frederic-leroux\/wp-content\/uploads\/leroux-pub\/RECHERCHE\/fitted-family.jpg\" alt=\"Illustration du th\u00e9or\u00e8me de point fixe de Handel\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><a>Expos\u00e9s<\/a><\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/dropsu.sorbonne-universite.fr\/s\/njYTp75DdGZqw7D\">IHP group actions 2024<\/a> (this is a BIG file!)<\/li>\n\n\n\n<li>CIRM 2024, <a href=\"https:\/\/dropsu.sorbonne-universite.fr\/s\/5Fa9PpSN8Acj7BX\">deux<\/a> <a href=\"https:\/\/dropsu.sorbonne-universite.fr\/s\/HiWwfxDGAbtobHs\">dessins<\/a> de Fran\u00e7ois B\u00e9guin<\/li>\n\n\n\n<li>FSMP Journ\u00e9e syst\u00e8mes dynamiques, <a href=\"https:\/\/www.shadertoy.com\/playlist\/m3XSzl\">les animations<\/a><br><\/li>\n<\/ul>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Mes travaux portent principalement sur la dynamique des hom\u00e9omorphismes de surface : j&rsquo;\u00e9tudie d&rsquo;une part la dynamique locale (c&rsquo;est-\u00e0-dire au voisinage d&rsquo;un point fixe), d&rsquo;autre part les divers avatars des nombres de rotation. Plus r\u00e9cemment, je m&rsquo;int\u00e9resse aux groupes d&rsquo;hom\u00e9omorphismes et de diff\u00e9omorphismes, et aux hom\u00e9omorphismes hamiltoniens. Liste de publications et pr\u00e9publications Notes de cours [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-31","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/perso.imj-prg.fr\/frederic-leroux\/wp-json\/wp\/v2\/pages\/31","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/perso.imj-prg.fr\/frederic-leroux\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/perso.imj-prg.fr\/frederic-leroux\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/perso.imj-prg.fr\/frederic-leroux\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/perso.imj-prg.fr\/frederic-leroux\/wp-json\/wp\/v2\/comments?post=31"}],"version-history":[{"count":13,"href":"https:\/\/perso.imj-prg.fr\/frederic-leroux\/wp-json\/wp\/v2\/pages\/31\/revisions"}],"predecessor-version":[{"id":307,"href":"https:\/\/perso.imj-prg.fr\/frederic-leroux\/wp-json\/wp\/v2\/pages\/31\/revisions\/307"}],"wp:attachment":[{"href":"https:\/\/perso.imj-prg.fr\/frederic-leroux\/wp-json\/wp\/v2\/media?parent=31"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}