{"id":2,"date":"2018-02-08T16:06:15","date_gmt":"2018-02-08T15:06:15","guid":{"rendered":"https:\/\/www.idpoisson.fr\/peigne\/?page_id=2"},"modified":"2026-01-22T10:40:18","modified_gmt":"2026-01-22T09:40:18","slug":"accueil","status":"publish","type":"page","link":"https:\/\/www.idpoisson.fr\/peigne","title":{"rendered":"Accueil"},"content":{"rendered":"<p style=\"text-align: left\">[<a href=\"#themes\">Th\u00e8mes de recherche<\/a> | <a href=\"#publis\">Publications<\/a> | <a href=\"#ens\">Enseignement<\/a>]<\/p>\n<hr \/>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-253 size-medium\" src=\"https:\/\/www.idpoisson.fr\/peigne\/wp-content\/uploads\/sites\/27\/2022\/01\/PA240055-scaled-e1643274728936-300x235.jpg\" alt=\"\" width=\"300\" height=\"235\" srcset=\"https:\/\/www.idpoisson.fr\/peigne\/wp-content\/uploads\/sites\/27\/2022\/01\/PA240055-scaled-e1643274728936-300x235.jpg 300w, https:\/\/www.idpoisson.fr\/peigne\/wp-content\/uploads\/sites\/27\/2022\/01\/PA240055-scaled-e1643274728936-1024x802.jpg 1024w, https:\/\/www.idpoisson.fr\/peigne\/wp-content\/uploads\/sites\/27\/2022\/01\/PA240055-scaled-e1643274728936-768x601.jpg 768w, https:\/\/www.idpoisson.fr\/peigne\/wp-content\/uploads\/sites\/27\/2022\/01\/PA240055-scaled-e1643274728936-1536x1202.jpg 1536w, https:\/\/www.idpoisson.fr\/peigne\/wp-content\/uploads\/sites\/27\/2022\/01\/PA240055-scaled-e1643274728936-2048x1603.jpg 2048w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Professeur en math\u00e9matiques<br \/><a href=\"https:\/\/www.idpoisson.fr\">Institut Denis Poisson<\/a> CNRS UMR 7013<br \/><a href=\"http:\/\/www.math.univ-tours.fr\/\">D\u00e9partement de math\u00e9matiques<\/a> de l&rsquo;<a href=\"http:\/\/www.univ-tours.fr\">Universit\u00e9 de Tours<\/a><br \/>\u00c9quipe de recherche : <a href=\"\/\/www.idpoisson.fr\/equipe-probabilite-algebre-combinatoire-theorie-ergodique-statistique\/\">SPACE<\/a><\/p>\n<p><strong>Contact<\/strong><br \/>Bureau : E2-3100<br \/>T\u00e9l\u00e9phone : (33)-2-47-36-72-04<br \/>Email : peigne@univ-tours.fr<br \/><strong>Adresse postale<\/strong><br \/>Institut Denis Poisson<br \/>Universit\u00e9 de Tours<br \/>Parc de Grandmont<br \/>37200 Tours, France<\/p>\n<hr \/>\n<h2>\u00a0<\/h2>\n<h2 id=\"themes\" style=\"text-align: left\">Th\u00e8mes de recherche<\/h2>\n<ul style=\"text-align: left\">\n<li>\n<h4>Marches al\u00e9atoires \u00a0sur les groupes et produits de transformations al\u00e9atoires<\/h4>\n<\/li>\n<li>\n<h4>Croissance des vari\u00e9t\u00e9s d&rsquo;Hadamard \u00e0 courbure strictement n\u00e9gative et comportement des fonctions orbitales de leurs groupes discrets d&rsquo;isom\u00e9tries<\/h4>\n<\/li>\n<li>\n<h4>Aspects stochastique du flot g\u00e9od\u00e9sique en courbure strictement n\u00e9gative<\/h4>\n<hr \/>\n<h2>\u00a0<\/h2>\n<\/li>\n<\/ul>\n<h2 id=\"publis\" style=\"text-align: left\">Liste des Publications<\/h2>\n<ul style=\"text-align: left\">\n<li>M. Peign\u00e9 <em>Iterated function systems and spectral decomposition of the associated Markov operator, <\/em>Pr\u00e9publication Rennes 1. <a href=\"https:\/\/www.idpoisson.fr\/peigne\/wp-content\/uploads\/sites\/27\/2018\/11\/ifs.pdf\">(pdf en anglais)<\/a><\/li>\n<li>M. Peign\u00e9 <em>Marches de Markov sur le semi-groupe des contractions de R<sup>d <\/sup>. Cas de la marche al\u00e9atoire \u00e0 pas markoviens sur R<sup>d <\/sup>avec chocs \u00e9lastiques sur les axes,<\/em> Ann. Inst. Henri Poincar\u00e9, Vol. 28, n. 1, (1992), <a href=\"https:\/\/www.idpoisson.fr\/peigne\/wp-content\/uploads\/sites\/27\/2018\/11\/ma-avec-reflections.pdf\">(pdf en fran\u00e7ais)<\/a><\/li>\n<li>E. Lepage &#038; M. Peign\u00e9 <em>A local limit theorem on the semi-direct product of R<sup>*+ <\/sup>and R<sup>d <\/sup><\/em>, Ann. \u00a0Inst. Henri Poincar\u00e9, Vol. 33, n. 2, (1997), <a href=\"https:\/\/www.idpoisson.fr\/peigne\/wp-content\/uploads\/sites\/27\/2018\/11\/local.limit_-1.pdf\">(pdf en anglais)<\/a><\/li>\n<li>E. Lepage &#038; M. Peign\u00e9 <em>Local limit theorems on some non unimodular groups, \u00a0<\/em>Revista Matematica Iberoamericana, vol. 15, n. 1 (1999), <a href=\"https:\/\/www.idpoisson.fr\/peigne\/wp-content\/uploads\/sites\/27\/2018\/11\/theolocal2.pdf\">(pdf en anglais)<\/a><\/li>\n<li>F. Dal&rsquo;bo &#038; M. Peign\u00e9 <em>Groupes du Ping-Pong et g\u00e9od\u00e9siques ferm\u00e9es en courbure -1, <\/em>\u00a0Ann. Inst. Fourier, t. 46, (1996) Fasc. 3. <a href=\"https:\/\/www.idpoisson.fr\/peigne\/wp-content\/uploads\/sites\/27\/2018\/11\/AIF_1996__46_3_755_0.pdf\">(pdf en fran\u00e7ais)<\/a><\/li>\n<li>A. Broise, F. Dal&rsquo;bo &#038; M. Peign\u00e9 <em>Comportement asymptotique du nombre de g\u00e9od\u00e9siques ferm\u00e9es sur la surface modulaire en courbure non constante, <\/em>Ast\u00e9risque n. 238.<\/li>\n<li>F. Dal&rsquo;bo &#038; M. Peign\u00e9 <em>Some negatively curved manifolds with cusps, mixing and counting,\u00a0<\/em> J. Reine Angew. Math. 497 (1998) <a href=\"https:\/\/www.idpoisson.fr\/peigne\/wp-content\/uploads\/sites\/27\/2018\/11\/crelle.pdf\">(pdf en anglais)<\/a><\/li>\n<li>F. Dal&rsquo;bo, J.P. Otal &#038; M. Peign\u00e9 <em>S\u00e9rie de Poincar\u00e9 des groupes g\u00e9om\u00e9triquement finis,<\/em> Israel Journal of math. 118 (2000) <a href=\"https:\/\/www.idpoisson.fr\/peigne\/wp-content\/uploads\/sites\/27\/2018\/11\/israel.pdf\">(pdf en fran\u00e7ais)<\/a><\/li>\n<li>M. Babillot &#038; M. Peign\u00e9 <em>Homologie des g\u00e9od\u00e9siques ferm\u00e9es sur des vari\u00e9t\u00e9s hyperboliques avec bouts cuspidaux,\u00a0<\/em>Ann. Sci. \u00c9cole Norm. Sup. (4) 33 (2000), no. 1, 81&#8211;120, <a href=\"https:\/\/www.idpoisson.fr\/peigne\/wp-content\/uploads\/sites\/27\/2018\/11\/homologie-geod.pdf\">(pdf en fran\u00e7ais)<\/a><\/li>\n<li>M. Peign\u00e9 <em>On the Patterson-Sullivan measure of some discrete groups of isometries, <\/em>Israel Journal of math. 133 (2002), <a href=\"https:\/\/www.idpoisson.fr\/peigne\/wp-content\/uploads\/sites\/27\/2018\/11\/BMF.pdf\">(pdf en anglais)<\/a><\/li>\n<li>J. P Otal &#038; M. Peign\u00e9 <em>Principe variationnel et groupes kleiniens,\u00a0<\/em> Duke Math. Journal vol. 125 n. 1 (2004), <a href=\"https:\/\/www.idpoisson.fr\/peigne\/wp-content\/uploads\/sites\/27\/2018\/11\/entropieDMJ.pdf\">(pdf en fran\u00e7ais)<\/a><\/li>\n<li>J.D. Fouks, E. Lesigne &#038; M. Peign\u00e9 <em>\u00c9tude asymptotique d&rsquo;une marche al\u00e9atoire centrifuge, A<\/em>nn. \u00a0Inst. Henri Poincar\u00e9, \u00a0vol. 42, issue 2 (2006), <a href=\"https:\/\/www.idpoisson.fr\/peigne\/wp-content\/uploads\/sites\/27\/2018\/11\/marche-centrifuge.pdf\">(pdf en fran\u00e7ais)<\/a><\/li>\n<li>M. Babillot &#038; M. Peign\u00e9 <em>Asymptotic laws for Geodesic homology on Hyperbolic manifolds with Cusps<\/em>, Bull. Soc. Math. France 134 (2006), no. 1, 119&#8211;163. <a href=\"https:\/\/www.idpoisson.fr\/peigne\/wp-content\/uploads\/sites\/27\/2018\/11\/TCL.pdf\">(pdf en anglais)<\/a><\/li>\n<li>G. Link, J.C. Picaud &#038; M. Peign\u00e9 <em>Sur les surfaces non-compactes de rang un , <\/em>L&rsquo;enseignement Math\u00e9matique (2) 52 (2006), no. 1-2, <a href=\"https:\/\/www.idpoisson.fr\/peigne\/wp-content\/uploads\/sites\/27\/2018\/11\/rang1.pdf\">(pdf en fran\u00e7ais)<\/a><\/li>\n<li>F. Dal&rsquo;bo, M. Peign\u00e9 J.C. Picaud &#038; A. Sambusetti <em>On the growth of nonuniform lattices in pinched negatively curved manifolds, \u00a0<\/em>J. Reine Angew. Math 627 (2009), 31-52. <a href=\"https:\/\/www.idpoisson.fr\/peigne\/wp-content\/uploads\/sites\/27\/2018\/11\/volent-versionfinale2.pdf\">(pdf en anglais)<\/a><\/li>\n<li>F. Dal&rsquo;bo, M. Peign\u00e9 J.C. Picaud &#038; A. Sambusetti <em>On the growth tightness of some discrete groups of isometries of negatively curved manifolds, <\/em>Ergodic Theory and Dynamical Systems 31 (2011), no. 3. <a href=\"https:\/\/www.idpoisson.fr\/peigne\/wp-content\/uploads\/sites\/27\/2018\/11\/growth-quotient.pdf\">(pdf en anglais)<\/a><\/li>\n<li>M. Peign\u00e9 <em>On some exotic Schottky groups, <\/em>Discrete and Continuous Dynamical Systems 31 (2011), no. 2. <a href=\"https:\/\/www.idpoisson.fr\/peigne\/wp-content\/uploads\/sites\/27\/2018\/11\/AIMS-Exotic.pdf\">(pdf en anglais)<\/a><\/li>\n<li>M. Peign\u00e9 &#038; W. Woess <em>Stochastic dynamical systems with weak contractivity properties I. Strong and local contractivity, <\/em>Colloquium Mathematicum 125 (2011), no. 1. <a href=\"https:\/\/www.idpoisson.fr\/peigne\/wp-content\/uploads\/sites\/27\/2018\/11\/part-I.11-09-08.pdf\">(pdf en anglais)<\/a><\/li>\n<li>M. Peign\u00e9 &#038; W. Woess <em>Stochastic dynamical systems with weak contractivity properties II. Iteration of Lipschitz mappings, <\/em>to appear in Colloquium Mathematicum 125 (2011), no. 2. <a href=\"https:\/\/www.idpoisson.fr\/peigne\/wp-content\/uploads\/sites\/27\/2018\/11\/part-II.11-09-09.pdf\">(pdf en anglais)<\/a><\/li>\n<li>C. Lecouvey, E. Lesigne &#038; M. Peign\u00e9, <em>Random walks in Weyl chambers and crystals, <\/em>Proceeding of the London Mathematical Society (3), 104 (2012), no. 2. <a href=\"https:\/\/www.idpoisson.fr\/peigne\/wp-content\/uploads\/sites\/27\/2018\/11\/Proc.-London-Math.-Soc.-2011-Lecouvey-plms-pdr033-1.pdf\">(pdf en anglais)<\/a><\/li>\n<li>F. Dal&rsquo;bo, M. Peign\u00e9 &#038; A. Sambusetti <em>On the horoboundary and the geometry of rays of negatively curved manifolds, <\/em>Pacific Journal of Mathematics, Vol. 259 (2012), no.1 <a href=\"https:\/\/www.idpoisson.fr\/peigne\/wp-content\/uploads\/sites\/27\/2018\/11\/busemann-finale.pdf\">(pdf en anglais)<\/a><\/li>\n<li>C. Lecouvey, E. Lesigne &#038; M. Peign\u00e9 <em>Conditioned random walk in Weyl chambers and renewal theory, <\/em>Random matrices and iterated random functions, M\u00fcnster, October 2011, G. Alsmeyer and M. L\u00f6we, editors, Springer Proceedings in Mathematics and statistics, vol. 53 (2013) <a href=\"https:\/\/www.idpoisson.fr\/peigne\/wp-content\/uploads\/sites\/27\/2018\/11\/LLPspringer.pdf\">(pdf en anglais)<\/a><\/li>\n<li>M. Peign\u00e9 &#038; R. Essifi <em>Return Probabilities for the Reflected Random Walk on N, <\/em>Journal of Theoretical Probability (2015), no. 28, p.231-258,\u00a0<a href=\"https:\/\/www.idpoisson.fr\/peigne\/wp-content\/uploads\/sites\/27\/2018\/11\/Return-probabilities.JTP_-1.pdf\">(pdf en anglais)<\/a><br \/><em>ERRATUM <\/em><a href=\"https:\/\/www.idpoisson.fr\/peigne\/wp-content\/uploads\/sites\/27\/2018\/11\/ERRATUM.pdf\">(pdf en anglais)<\/a><\/li>\n<li>M. Peign\u00e9, K. Raschel &#038; R. Essifi <em>Some aspects of fluctuations of random walks on R and applications to random walks an R+ with non elastic reflection at 0, <\/em>Latin American Journal of Probability and Mathematical Statistics, Volume X, no. 2, (2013), p. 591-607\u00a0<a href=\"https:\/\/www.idpoisson.fr\/peigne\/wp-content\/uploads\/sites\/27\/2018\/11\/fluctuation-rev.pdf\">(pdf en anglais)<\/a><\/li>\n<li>M. Peign\u00e9 <em>Autour de l&rsquo;exposant de Poincar\u00e9 d&rsquo;un groupe kleinien<\/em>, Monographie de L&rsquo;Enseignement math\u00e9matique 43, (2013) <a href=\"https:\/\/www.idpoisson.fr\/peigne\/wp-content\/uploads\/sites\/27\/2018\/11\/EM.Platon.version5.pdf\">(pdf en fran\u00e7ais)<\/a><\/li>\n<li>C. Lecouvey, E. Lesigne &#038; M. Peign\u00e9 <em>Conditioned one-way simple random walk and combinatorial representation theory, <\/em>S\u00e9minaire Lotharingien de Combinatoire, (2014) <a href=\"https:\/\/www.idpoisson.fr\/peigne\/wp-content\/uploads\/sites\/27\/2018\/11\/ArticleSLC-1.pdf\">(pdf en anglais)<\/a><\/li>\n<li>I. Grama, E. Lepage &#038; M. Peign\u00e9 <em>On the rate of convergence in the weak invariance principle for dependent random variables with applications to Markov chains<\/em>, Colloquium Mathematicum, (2014) <a href=\"https:\/\/www.idpoisson.fr\/peigne\/wp-content\/uploads\/sites\/27\/2018\/11\/KMTdepend-onedim805-1.pdf\">(pdf en anglais)<\/a><\/li>\n<li>C. Lecouvey, E. Lesigne &#038; M. Peign\u00e9 <em>Conditioned random walks from Kac-Moody root systems<\/em>, Transaction AMS, (2014) <a href=\"https:\/\/www.idpoisson.fr\/peigne\/wp-content\/uploads\/sites\/27\/2018\/11\/KMRandomWalk240913.pdf\">(pdf en anglais)<\/a><\/li>\n<li>F. Dal&rsquo;bo, M. Peign\u00e9, J.C. Picaud &#038; A. Sambusetti<em> Convergence and counting in infinite measure <\/em>, Annales de l&rsquo;Institut Fourier (2016) <a href=\"https:\/\/www.idpoisson.fr\/peigne\/wp-content\/uploads\/sites\/27\/2018\/11\/comptage.exotic.latticeVersionFinaleAIFjuin2017.pdf\">(pdf en anglais)<\/a><\/li>\n<li>I. Grama &#038; E. Lepage &#038; M. Peign\u00e9 <em>Conditional Limit theorems for products of random matrices <\/em>, Probability Theory and Related Fields (2016) <a href=\"https:\/\/www.idpoisson.fr\/peigne\/wp-content\/uploads\/sites\/27\/2018\/11\/GramaLepagePeigne-GLDR_final-1.pdf\">(pdf en anglais)<\/a><\/li>\n<li>C. Lecouvey &#038; E. Lesigne &#038; M. Peign\u00e9 <em>Harmonic functions on multiplicative graphs and inverse Pitman transform on infinite graphs<\/em>, Annales de la Facult\u00e9 des sciences de Toulouse S\u00e9rie 6, Tome 27 no. 3 (2018) \u00a0\u00a0<a href=\"https:\/\/www.idpoisson.fr\/peigne\/wp-content\/uploads\/sites\/27\/2018\/11\/annalestoulouse.pdf\">(pdf en anglais)<\/a><\/li>\n<li>E. Lepage &#038; M. Peign\u00e9 &#038; T. D. C. Pham <em>The survival probability of a critical multi-type branching process in i.i.d. random environment<\/em>, Annals of Probability,\u00a046, vol. 5 (2018) <a href=\"https:\/\/www.idpoisson.fr\/peigne\/wp-content\/uploads\/sites\/27\/2018\/11\/LepagePhamPeignecorrectionsV4-LASTVERSION.pdf\">(pdf en anglais)<\/a><\/li>\n<li>F. Ladjimi \u00a0&#038; M. Peign\u00e9<em> Iterated function systems with place dependent probabilities and application to the Diaconis-Freedman&rsquo;s chain on [0,1], <\/em><span style=\"font-size: inherit\">Statistic and Probability Letters <\/span><a style=\"font-size: inherit\" title=\"Go to table of contents for this volume\/issue\" href=\"https:\/\/www.sciencedirect.com\/science\/journal\/01677152\/145\/supp\/C\">Volume 145<\/a><span style=\"font-size: inherit\">\u00a0(2019) \u00a0<\/span><a style=\"font-size: 1rem\" href=\"https:\/\/www.idpoisson.fr\/peigne\/wp-content\/uploads\/sites\/27\/2018\/11\/LADJIMI-PEIGNEIFScasgeneralVAnglais9.pdf\">(pdf en anglais)<\/a><\/li>\n<li>F. Dal&rsquo;bo, M. Peign\u00e9, J.C. Picaud &#038; A. Sambusetti<i> Asymptotic geometry of\u00a0negatively curved manifolds<\/i>, \u00a0Annales de l&rsquo;ENS 52, vol. 6 (2019) <a href=\"https:\/\/www.idpoisson.fr\/peigne\/wp-content\/uploads\/sites\/27\/2018\/11\/dpps-margulis-Version-pour-Annales-ENS-1.pdf\">(pdf en anglais)<\/a><\/li>\n<li>M. Peign\u00e9 \u00a0&#038; A. Sambusetti<em> Entropy Rigidity of negatively curved manifolds of finite volume<\/em>, Mathematische Zeitschrift\u00a0\u00a0<span class=\"u-visually-hidden\">olume<\/span>\u00a0293,\u00a0<span class=\"u-visually-hidden\">pages\u00a0<\/span>609\u2013627 (<span data-test=\"article-publication-year\">2019<\/span>)\u00a0<span style=\"font-size: 1rem\">\u00a0<\/span><a href=\"https:\/\/www.idpoisson.fr\/wp-content\/uploads\/2018\/12\/rigidity.pdf\">(pdf en anglais)<\/a><\/li>\n<li>M. Peign\u00e9 <span class=\"Apple-converted-space\">\u00a0 <\/span><em>Transition de phase de fonctions orbitales pour des groupes de Schottky en courbure n\u00e9gative<\/em>,<span class=\"Apple-converted-space\">\u00a0 <\/span>Annales de la Facult\u00e9 des sciences de Toulouse\u00a0<span style=\"font-size: inherit\">S\u00e9rie 6, Tome 28 (2019) no. 3,<\/span>\u00a0 <span style=\"font-size: inherit\">(2019) <\/span><a href=\"https:\/\/afst.centre-mersenne.org\/article\/AFST_2019_6_28_3_491_0.pdf\">(pdf en anglais)<\/a><\/li>\n<li>\u00a0<span style=\"font-size: inherit\">H. L. Ngo<\/span>\u00a0\u00a0<span style=\"font-size: inherit\">&#038; M. Peign\u00e9 <em>Limit theorem for perturbed <\/em><\/span><em>\u00a0 <\/em><span style=\"font-size: inherit\"><em>random walks<\/em>,\u00a0<\/span>Theory Stoch. Process., (2019), Volume 24 (40), Issue 2,<a style=\"font-size: inherit\" href=\"https:\/\/hal.archives-ouvertes.fr\/hal-02155058v3\/document\">\u00a0(pdf en anglais)<\/a><\/li>\n<li>\u00a0<span style=\"font-size: inherit\">M. Peign\u00e9, S. Tapie &#038;\u00a0<\/span>\u00a0\u00a0<span style=\"font-size: inherit\">P. Vidotto \u00a0<\/span>\u00a0 <em style=\"font-size: inherit\">Orbital counting for some convergent groups<\/em><span style=\"font-size: inherit\">,<\/span>\u00a0 <span style=\"font-size: inherit\">Annales de l&rsquo;Institut Fourier (2020<a href=\"https:\/\/aif.centre-mersenne.org\/article\/AIF_2020__70_3_1307_0.pdf\">) (pdf en anglais)<\/a><\/span><\/li>\n<li>S. Brofferio,\u00a0<span style=\"font-size: inherit\">M. Peign\u00e9 &#038; C. Pha<\/span><em><span style=\"font-size: inherit\">m\u00a0<\/span>On the affine recursion<\/em> <em>R+d<\/em>, \u00a0\u00a0<span style=\"font-size: inherit\"><span style=\"font-size: inherit\">\u00a0<\/span><\/span>Latin American Journal of Probability and Mathematical Statistics, (2021), Volume XVIII, no. 1, 1007-1028\u00a0<a href=\"https:\/\/arxiv.org\/pdf\/2003.09380.pdf\">(pdf en anglais)<\/a><\/li>\n<li><span style=\"font-size: inherit\">H. L. Ngo\u00a0\u00a0&#038; M. Peign\u00e9<em> Limit theorem for reflected<\/em><\/span><em>\u00a0 <\/em><span style=\"font-size: inherit\"><em>random walks<\/em>, \u00a0<\/span><span style=\"font-size: inherit\"> Part of the <a href=\"https:\/\/link.springer.com\/bookseries\/304\" data-track=\"click\" data-track-action=\"open book series\" data-track-label=\"link\">Lecture Notes in Mathematics<\/a> book series, LNM,volume 2290, (2021) <\/span><span style=\"font-size: inherit\">\u00a0<a href=\"https:\/\/hal.archives-ouvertes.fr\/hal-02303955v3\/document\">(pdf en anglais)<\/a><\/span><\/li>\n<li>E. L<span style=\"font-size: inherit\">e Page, M. Peign\u00e9 &#038; C. Pham <\/span><em style=\"font-size: inherit\">Central limit theorem f<\/em><em style=\"font-size: inherit\">or a critical multi-type\u00a0 branching process\u00a0<\/em><em style=\"font-size: inherit\">in random environment<\/em><span style=\"font-size: inherit\">,<\/span>\u00a0 \u00a0Tunisian Journal of Mathematics 3(4): 801-842 (2021)<span style=\"font-size: inherit\">\u00a0<a href=\"https:\/\/hal.archives-ouvertes.fr\/hal-02873641v2\/document\">(pdf en anglais)<\/a><\/span><\/li>\n<li><span style=\"font-size: inherit\">M. Peign\u00e9 &#038; W. Woess<em> Recurrence of 2-dimensional queueing processes and\u00a0<\/em><\/span><span style=\"font-size: inherit\"><span style=\"font-size: inherit\"><em>random walk exit times from the quadrant, <\/em>The Annals of Applied Probability Vol. 31, Issue 6, (2021) , \u00a0 2519-2537<\/span><\/span><span style=\"font-size: inherit\">\u00a0<a href=\"https:\/\/hal.archives-ouvertes.fr\/hal-02281986\/document\">(pdf en anglais)<\/a><\/span><\/li>\n<li><span style=\"font-size: inherit\">M. Peign\u00e9 &#038; T.D. Tran <em>On the asymptotic behavior of the Diaconis and Freedman&rsquo;s chain in a multidimensional simplex<\/em><\/span><span style=\"font-size: inherit\"><span style=\"font-size: inherit\">, <span style=\"font-size: revert\">J. Appl. Probab. 59, 505\u2013526 (2022), <\/span><\/span><\/span><a href=\"https:\/\/www.idpoisson.fr\/peigne\/wp-content\/uploads\/sites\/27\/2024\/02\/on-the-asymptotic-behavior-of-the-diaconis-freedman-chain-in-a-multi-dimensional-simplex.pdf\">(pdf en anglais)<\/a><\/li>\n<li><span style=\"font-size: inherit\">M. Peign\u00e9 &#038; T.D. Vo <em>A functional limit theorem for lattice oscillating random walks<\/em><\/span><span style=\"font-size: inherit\"><span style=\"font-size: inherit\">, Latin American Journal of Probability and Mathematical Statistics<span style=\"font-size: revert\">, (2023) vol. XX, no. 2, \u00a0 1433\u20131457, <\/span><\/span><\/span><a href=\"https:\/\/www.idpoisson.fr\/peigne\/wp-content\/uploads\/sites\/27\/2024\/02\/ALEA_version5.pdf\">(pdf en anglais)<\/a><\/li>\n<li><span style=\"font-size: inherit\">M. Peign\u00e9 &#038; C. Pham \u00a0<em>A conditioned local limit theorem for non negative random matrice<\/em>s, Journal of Theoretical Probability, <\/span><span data-test=\"journal-volume\">Volume\u00a037<\/span>,\u00a0pages 1882\u20131901, (<span data-test=\"article-publication-year\">2024<\/span>) <a href=\"https:\/\/www.idpoisson.fr\/peigne\/wp-content\/uploads\/sites\/27\/2024\/05\/MatricesPeignePham.pdf\"><span style=\"font-size: inherit\"><span style=\"font-size: inherit\"><span style=\"font-size: revert\">\u00a0<\/span><\/span><\/span>(pdf en anglais)<\/a><\/li>\n<li>M. Dussaule, M. Peign\u00e9 &#038; S. Tapie <em>Exotic local limit theorems at the phase transition in free products, <\/em>Electron. J. Probab. 29: 1-22 (2024)\u00a0<a href=\"https:\/\/www.idpoisson.fr\/peigne\/wp-content\/uploads\/sites\/27\/2024\/02\/Phase_Transitionv4-1.pdf\">(pdf en anglais)<\/a><\/li>\n<li><span style=\"font-size: inherit\">M. Peign\u00e9 &#038; C. Pham \u00a0<em>The survival probability of a weakly subcritical multitype branching process<\/em> <em>in iid random environment, <\/em><\/span><span style=\"font-size: revert\">Electron. J. Probab. 29: 1-20 (2024) <\/span><a style=\"font-size: revert\" href=\"https:\/\/www.idpoisson.fr\/peigne\/wp-content\/uploads\/sites\/27\/2024\/02\/BP-souscritiqueV8.pdf\">(pdf en anglais)<\/a><span style=\"font-size: revert\">\u00a0<\/span><\/li>\n<li>M. Dussaule, M. Peign\u00e9 &#038; S. Tapie <em>A local limit theorem for convergent random walks on relatively hyperbolic groups, <\/em>\u00a0to appear in Annales de l&rsquo;IHP (2026) \u00a0<a href=\"https:\/\/www.idpoisson.fr\/peigne\/wp-content\/uploads\/sites\/27\/2024\/02\/Revision-LLTCV-finaljanvier2024.pdf\">(pdf en anglais)<\/a><\/li>\n<\/ul>\n<h2 style=\"text-align: left\">Travaux soumis ou d\u00e9pos\u00e9s<\/h2>\n<ul style=\"text-align: left\">\n<li><em>Mesure de Hausdorff de l&rsquo;ensemble limite de groupes kleiniens g\u00e9om\u00e9triquement fini<\/em><em>s<\/em><strong><em>,<\/em><\/strong> <a href=\"https:\/\/www.idpoisson.fr\/peigne\/wp-content\/uploads\/sites\/27\/2018\/11\/Hmesure.pdf\">(pdf en fran\u00e7ais)<\/a><\/li>\n<li><em>On \u00a0recurrence of reflected random walk on the half line<\/em>, en collaboration avec W. Woess (2006) <a href=\"https:\/\/www.idpoisson.fr\/peigne\/wp-content\/uploads\/sites\/27\/2018\/11\/marchereflechie.pdf\">(pdf en anglais)<\/a><\/li>\n<li>\u00a0<em>Recurrence of multidimensional affine recursions in the critical case , <\/em>en collaboration avec R. Aoun &#038; S. Brofferio <a href=\"https:\/\/www.idpoisson.fr\/peigne\/wp-content\/uploads\/sites\/27\/2025\/01\/AounBrofferioPeigne-aRXIV.pdf\">(pdf en anglais)<\/a><\/li>\n<li><em>A local limit theorem for convergent random walks on relatively hyperbolic groups,\u00a0<\/em>en collaboration avec C. \u00a0Pham &#038; T. D. Vo <a href=\"https:\/\/arxiv.org\/pdf\/2509.15647\">(pdf en anglais)<\/a><\/li>\n<\/ul>\n<h2 style=\"text-align: left\">Enseignements<\/h2>\n<ul>\n<li style=\"text-align: left\"><em>Stochastic dynamical systems in Ha Long Bay <\/em>Notes de cours r\u00e9dig\u00e9 avec S. Brofferio; Ha Long Bay Vietnam, Juillet 2017 et Graz (Autriche), Octobre 2017 <a href=\"https:\/\/www.idpoisson.fr\/peigne\/wp-content\/uploads\/sites\/27\/2018\/11\/Cours-HA-Long-Bay-2017V8november2017-1.pdf\">(pdf en anglais)<\/a><\/li>\n<li style=\"text-align: left\">Stochastic dynamical systems, Exercices <a href=\"https:\/\/www.idpoisson.fr\/peigne\/wp-content\/uploads\/sites\/27\/2018\/11\/Exercises-1.pdf\">(pdf en anglais)<\/a><\/li>\n<li style=\"text-align: left\"><em>Introduction to branching processes in fixed and random environment <\/em><a href=\"https:\/\/www.idpoisson.fr\/peigne\/wp-content\/uploads\/sites\/27\/2018\/11\/SEAMS-M.-Peigne-V1-1.pdf\">(pdf en anglais)\u00a0<\/a>SEAMS School : Mathematical Modelling in Biology, Ha Noi mars 2017.<\/li>\n<li style=\"text-align: left\"><em>Marches al\u00e9atoires dans les c\u00f4nes et th\u00e9or\u00e8mes limite locaux: une approche trajectorielle <\/em><a href=\"https:\/\/www.idpoisson.fr\/peigne\/wp-content\/uploads\/sites\/27\/2018\/11\/Cours-Hammamet-2014-1.pdf\">(pdf en fran\u00e7ais)<\/a>\u00a0Notes d&rsquo;expos\u00e9 Hammamet, D\u00e9cembre 2014. \u00c0 para\u00eetre dans ESAIM<\/li>\n<li style=\"text-align: left\"><em>Autour de l&rsquo;exposant critique d&rsquo;un groupe kleinien <\/em><a href=\"https:\/\/www.idpoisson.fr\/peigne\/wp-content\/uploads\/sites\/27\/2018\/11\/Cours-Amiens.pdf\">(<\/a><a href=\"https:\/\/www.idpoisson.fr\/peigne\/wp-content\/uploads\/sites\/27\/2018\/11\/Cours-Amiens.pdf\">pdf en fran\u00e7ais<\/a><a href=\"https:\/\/www.idpoisson.fr\/peigne\/wp-content\/uploads\/sites\/27\/2018\/11\/Cours-Amiens.pdf\">)<\/a><em>.\u00a0<\/em>Notes d&rsquo;expos\u00e9 au GDR Platon, Amiens 2010<\/li>\n<li style=\"text-align: left\"><em>Marches al\u00e9atoires sur <span class=\"MathJax\" role=\"textbox\"><span id=\"MathJax-Span-14\" class=\"math\"><span id=\"MathJax-Span-15\" class=\"mrow\"><span id=\"MathJax-Span-16\" class=\"msubsup\"><span id=\"MathJax-Span-17\" class=\"texatom\"><span id=\"MathJax-Span-18\" class=\"mrow\"><span id=\"MathJax-Span-19\" class=\"mi\">\u2124<\/span><\/span><\/span><span id=\"MathJax-Span-20\" class=\"mi\">d<\/span><\/span><\/span><\/span><\/span> et propri\u00e9t\u00e9s de r\u00e9currence <\/em>Cours et Exercices de Master 2, Universit\u00e9 de Tunis El Manar 2010<\/li>\n<li style=\"text-align: left\">Notes de Cours <a href=\"https:\/\/www.idpoisson.fr\/peigne\/wp-content\/uploads\/sites\/27\/2018\/11\/CoursM2-Tunis.pdf\">(pdf en fran\u00e7ais)<\/a><\/li>\n<li style=\"text-align: left\">Enonc\u00e9 d&rsquo;exercices <a href=\"https:\/\/www.idpoisson.fr\/peigne\/wp-content\/uploads\/sites\/27\/2018\/11\/ExercicesTunis-1.pdf\">(pdf en fran\u00e7ais)<\/a><\/li>\n<li style=\"text-align: left\">Corrig\u00e9 des exercices <a href=\"https:\/\/www.idpoisson.fr\/peigne\/wp-content\/uploads\/sites\/27\/2018\/11\/ExercicesTuniscorrection-1.pdf\">(pdf en fran\u00e7ais)<\/a><\/li>\n<li style=\"text-align: left\"><em>Sur les propri\u00e9t\u00e9s de r\u00e9currence des marches al\u00e9atoires et autres processus <\/em><a href=\"https:\/\/www.idpoisson.fr\/peigne\/wp-content\/uploads\/sites\/27\/2018\/11\/Cours2010.pdf\">(pdf en fran\u00e7ais)<\/a>\u00a0Cours donn\u00e9 \u00e0 Ho Chi Minh Ville en F\u00e9vrier 2008 et Tours en Mars 2009 et 2010<\/li>\n<li style=\"text-align: left\"><em>On some aspects of discrete groups of isometries of the hyperbolic plane<\/em> <a href=\"https:\/\/www.idpoisson.fr\/peigne\/wp-content\/uploads\/sites\/27\/2018\/11\/Coursgraz4.pdf\">(pdf en<\/a><a href=\"https:\/\/www.idpoisson.fr\/peigne\/wp-content\/uploads\/sites\/27\/2018\/11\/Coursgraz4.pdf\"> anglais)<\/a>\u00a0Cours donn\u00e9 \u00e0 Graz en Novembre 2009<\/li>\n<\/ul>\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>[Th\u00e8mes de recherche | Publications | Enseignement] Professeur en math\u00e9matiquesInstitut Denis Poisson CNRS UMR 7013D\u00e9partement de math\u00e9matiques de l&rsquo;Universit\u00e9 de &hellip; 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