François Maucourant
Maître de Conférence / Associate Professor
Equipe de Théorie Ergodique  / Ergodic Theory Team

Adresse :             IRMAR, Université Rennes I
                           Campus de Beaulieu, 35042 Rennes cedex (FRANCE)  


Où :                     Bureau 316, bâtiment 22 / Office 316, building 22
Tel :                     02 23 23 52 91photo jpg
Courriel / Email:   francois.maucourant arobas univ-rennes1.fr

Thèmes de recherche (dans le désordre): Actions de groupes de Lie, Théorie Ergodique, Approximation diophantienne , marches aléatoires sur les groupes
Research keywords : Lie group actions, ergodic theory, diophantine approximation, random walks on groups
Enseignement
Le cours de CMA est principalement basé sur le poly de Christophe Mourougane [poly] , (a partir du chapitre 2). Le dernier controle aura lieu le 18/12/24.
CMA Feuille de TD 1, Feuille de TD 2, Feuille de TD 3, Feuille de TD 4, Feuille de TD 5, CC1 et son corrigé, CC2 et son corrigé, CC3 de 2023/2024 et son corrigé. .

Preprints

 * Size of discriminants of periodic geodesics on the modular surface, arxiv

Publications

* Unique ergodicity of asynchronous rotations, arxiv, to appear in Annales de l'Institut Fourier.
* With S. Cantat and Y. Moreno Alonso, The Farfalle mystery, to appear in l'Enseignement mathématique.
* With B. Schapira, On topological and measurable dynamics of unipotent frame flows for hyperbolic manifolds ,Duke Math. J. 168(4): 697-747 arxiv
* With S.Gouëzel and F. Matheus,  Entropy and drift in word hyperbolic groups, Invent. Math. 211 (2018), no. 3 arXiv
* With B. Schapira, Distribution of orbits in $\R^2$ of a finitely generated group of $\SL(2,\R)$. American Journal of Maths 136 (2014), no. 6. arXiv:1204.5158
* With S.Gouëzel and F. Matheus,  Sharp lower bounds for the asymptotic entropy of symmetric random walks. Groups, Geometry, and Dynamics. arXiv:1209.3378
* With B. Weiss, Lattice action on the plane revisited, Geometriae Dedicata: Volume 157, Number 1 (2012) Pages 1-21. arXiv:1001.4924.
* With Y.Coudene, Horocycles récurrents sur des surfaces de volume infini, Geometriae Dedicata: Volume 149, Issue 1 (2010) , Page 231. pdf.
* Arithmetical and geometrical aspects of homogeneous diophantine approximation by algebraic numbers
in a given number field, Proceedings "Dynamical systems and Diophantine Approximations", Séminaires et congrès vol 22, S.M.F. pdf.
* Appendix of  arXiv:1004.2554
* A non-homogeneous orbit closure of a diagonal subgroup, Annals of Mathematics, vol 171, no 1 (2010), 557--570.  arXiv:0707.2920
* With  A.Gorodnik et H.Oh, Manin's and Peyre's conjectures on rational points and adelic mixing, Ann. Sci. Éc. Norm. Supér. (4)  41 (2008),  no.3, 383--435. arXiv:math/0601127
* Homogeneous asymptotic limits of Haar measures of semisimple Lie groups and their lattices, Duke Mathematical Journal, vol 136 (2), 2007, p 357-399.  arXiv:math/0512240 .
* Dynamical Borel-Cantelli Lemma for hyperbolic spaces, Israel Journal of mathematics, 152 (2006), p 143-155, Version ps
* With A.Gorodnik, Proximality and Equidistribution on the Furstenberg boundary,  Geometriae Dedicata, 113 (2005) : 197-213, arXiv:math/0406219
* Sur les spectres de Lagrange et Markoff des corps imaginaires quadratiques, Ergodic Theory and Dynamical Systems (2003),23, 193-205. Version pdf
* Thèse de Mathématiques/PhD Thesis.  http://tel.archives-ouvertes.fr/tel-00158036
* HDR lien HAL

Last update  16/04/2024