Mes articles de recherche:
---------- COMPLEX MULTIPLICATION --------------* Convolution and square in abelian groups II, arXiv/2208.02528 (2022) 60 p.
- Convolution and square in abelian groups I, arXiv/2205.08749 and Experimental Mathematics (to appear) 20 p.
---------- POSITIVE HARMONIC FUNCTIONS --------------* Positive harmonic functions on the Heisenberg group II, hal-02400005 and Journal de l'Ecole Polytechnique 8 (2021) p.973-1003
- Positive harmonic functions on the Heisenberg group I, chocolate, arXiv/1907.05041, and Proceedings 8th ECM, EMS Press (2023) p. 181-198
---------- ARITHMETICITY OF DISCRETE GROUPS --------------* Arithmeticity of discrete subgroups containing horospherical lattices, with S. Miquel, arXiv/1805.00045 and Duke Math. Journal 169 (2020) p.1485-1539
- Discreteness criterion for subgroups of products of SL(2), with Hee Oh, Transformation Groups 15 (2010) p.503-515
- Discrete subgroups of SL(3,R) generated by triangular matrices, with Hee Oh, International Math. Res. Not. 2010 (2010) p.619-632
---------- DENSE SUBGROUPS OF SIMPLE LIE GROUPS --------------* Convolution in perfect Lie groups, with N. de Saxcé, Math. Proc. Cambridge Philos. Soc. 161 (2016) p.31-45
* A spectral gap theorem in simple Lie groups, with N. de Saxcé, arXiv/1405.1808 and Inventiones Mathematicae 205 (2016) p.337-361
--------- UNITARY REPRESENTATIONS OF SEMISIMPLE LIE GROUPS ---------------- Temperedness criterion of the tensor products..., with Y. Inoue and T. Kobayashi, arXiv/2108.12125 and Journal of Algebra 617 (2023) p.1-16
* Tempered homogeneous spaces IV, with T. Kobayashi, arXiv/2009.10391 (2020) and Journal Inst. Math. Jussieu 22 (2023) p.2879-2906
- Tempered homogeneous spaces III, with T. Kobayashi, arXiv/2009.10389 (2020) and Journal of Lie Theory 31 (2021) p.833-869
* Tempered homogeneous spaces II, with T. Kobayashi, arXiv/1706.10131 in Dynamics, Geometry, Number Theory, Chicago Univ. Press (2022) p.213-245
- Temperedness of reductive homogeneous spaces, with T. Kobayashi, arXiv/1211.1203 and Journal European Math. Soc. 17 (2015) p.3015-3036
---------- RANDOM WALKS ON LIE GROUPS --------------- Recurrence on Affine Grassmannians, with C. Bruère, arXiv/1703.10816 and Ergodic Theory and Dynamical Systems 39 (2019) p.3207-3223
- On the regularity of stationary measures, with J-F. Quint, Israel Journal of Math. 226 (2018) p.1-14
- Central limit theorem for hyperbolic groups, with J-F. Quint, Izvestiya Mathematics 80 (2016) p.5-26
* Central limit theorem for linear groups, with J-F. Quint, arXiv/1603.09086 and Annals of Probability 44 (2016) p.1308-1340
- Random walks on projective spaces, with J-F. Quint, Compositio Mathematica 150 (2014) p.1579-1606
---------- RANDOM WALKS ON FINITE VOLUME HOMOGENEOUS SPACES --------------- How far are p-adic Lie groups from algebraic groups? with J-F. Quint, arXiv/2101.10662 and Michigan Mathematical Journal 72 (2022) p.3-23
- Lattices in S-adic Lie groups, with J-F. Quint, Journal of Lie Theory 24 (2014) p.179-197
- Recurrence on the space of lattices Proceedings of the ICM-Seoul III (2014) p.11-25
* Random walks on finite volume homogeneous spaces, with J-F. Quint, Inventiones Mathematicae 187 (2012) p.37-59
* Stationary measures and invariant subsets of homogeneous spaces III, with J-F. Quint, Annals of Mathematics 178 (2013) p.1017-1059
* Stationary measures and invariant subsets of homogeneous spaces II, with J-F. Quint, CRAS 349 (2011) p.341-345 and Journal American Math. Soc. 26 (2013) p.659-734
- Introduction to random walks on homogeneous spaces with J-F. Quint, 10th Takagi Lecture, Japan. J. Math. 7 (2012) p.135-166
* Mesures stationnaires et fermés invariants des espaces homogènes , avec J-F. Quint, CRAS 347 (2008) p.9-13 et Annals of Mathematics 174 (2011) p.1111-1162
---------- ORBIT CLOSURES, COUNTING AND EQUIDISTRIBUTION --------------- Geodesic planes in geometrically finite acylindrical 3-manifolds, with Hee Oh, arXiv/1802.04423 and Ergodic Theory and Dynamical Systems 42 (2022) p.514-553
- Fuchsian groups and compact hyperbolic surfaces, with Hee Oh, L'Enseignement Mathématique 62 (2017) p.189-198
* Effective equidistribution of S-integral points on symmetric varieties, with Hee Oh, arXiv/0706.1621 and Annales Inst. Fourier 62 (2012) p.1889-1942
- Polar decomposition for p-adic symmetric spaces, with Hee Oh, arXiv/0612.305 and International Math. Res. Not. 2007 (2007) p.1-20
- Equidistribution of rational matrices in their conjugacy classes , with Hee Oh, Geometric And Functional Analysis 17 (2007) p.1-32
---------- HARMONIC MAPS AND QUASIISOMETRIES --------------- Bounded Harmonic Maps, with D. Hulin, arXiv/2303.16673 and Geometriae Dedicata 217 (2023) 100, 28 pp.
- Harmonic quasi-isometric maps III: quotients of Hadamard manifolds, with D. Hulin, arXiv/2007.03250 and Geometriae Dedicata 217 (2023) 52, 37 p.
- Harmonic quasi-isometries of pinched Hadamard surfaces are injective, with D. Hulin, arXiv/2012.08307 and Tunisian Journal of Math. 4 (2022) p.307-328
* Harmonic quasi-isometric maps II: negatively curved manifolds, with D. Hulin, arXiv/1702.04369 and Journal European Math. Soc. 23 (2021) p.2861-2911
- Harmonic measures on negatively curved manifolds, with D. Hulin, Annales Institut Fourier 7 (2019) p.2951-2971
* Harmonic quasi-isometric maps I: between rank one symmetric spaces, with D. Hulin, arXiv/1508.06425 and Annals of Mathematics 185 (2017) p.895-917
---------- FRACTAL SETS AND DISCRETE GROUPS --------------- Conformal autosimilarity, with D. Hulin, Geometriae Dedicata 192 (2018) p.21-41
- Quasicircles and the conformal group, with D. Hulin, Conformal Geometry and Dynamics 20 (2016) p.282-302
--------- ELLIPTIC CURVES AND AN ANCIENT DYNAMICAL SYSTEM ---------------- Itération de pliages de quadrilatères II, avec D. Hulin, Bulletin Belgian Math. Soc. 13 (2006) p.773-787
* Itération de pliages de quadrilatères, avec D. Hulin, CRAS 338 (2004) p.235-238 et Inventiones Mathematicae157 (2004) p.147-194
--------- PERIODIC TILINGS OF CONVEX SETS IN PROJECTIVE GEOMETRY ---------------* Cubic differentials and hyperbolic convex sets, with D. Hulin, Journal of Differential Geometry 98 (2014) p.1-19
- Cubic differentials and finite volume convex projective surfaces, with D. Hulin, Geometry And Topology 17 (2013) p.595-620
- Convexes hyperboliques et quasiisométries, Geometriae Dedicata 122 (2006) p.109-134
* Convexes divisibles IV, Inventiones Mathematicae 164 (2006) p.249-278
* Convexes divisibles III, CRAS 332 (2001) p.387-390 et Annales Scientifiques de l'ENS 38 (2005) p.793-832
* Convexes divisibles II, Duke Math. Journ. 120 (2003) p.97-120
* Convexes divisibles I, in Algebraic groups and arithmetic, Tata Inst. Fund. Res. Stud. Math. 17 (2004) p.339-374
* Convexes hyperboliques et fonctions quasisymétriques, Publications Mathématiques de l'IHES 97 (2003) p.181-237
* Automorphismes des cônes convexes, CRAS 325 (1997) p.471-474 et Inventiones Mathematicae 141 (2000) p.149-193
--------- DISCRETE SUBGROUPS OF SEMISIMPLE LIE GROUPS ---------------- Adhérence de Zariski des groupes de Coxeter, avec P. de la Harpe, Compositio Mathematica 140 (2004) p.1357-1366
- Propriétés asymptotiques des groupes linéaires II, Advanced Studies Pure Math. 26 (2000) p.33-48
* Propriétés asymptotiques des groupes linéaires, Geometric And Functional Analysis 7 (1997) p.1-47
* Actions propres sur les espaces homogènes réductifs, CRAS 319 (1994) p.937-940 et Annals of Mathematics 144 (1996) p.315-347
----------- AFFINE, PROJECTIVE AND (G,X)-STRUCTURES -------------- The uniqueness of polynomial crystallographic actions, with K. Dekimpe, Mathematische Annalen 322 (2002) p.563-571
- Tores affines, Contemporary Math. 262 (2000) p.1-37
* Actions symplectiques de groupes compacts + correction, CRAS 327 (1998) p.373-376, Geometria Dedicata 89 (2002) p.181-245
* Nilvariétés projectives, Commentarii Mathematici Helvetici 69 (1994) p.447-473
* Une nilvariété non affine, CRAS 315 (1992) p.983-986 et Journal of Differential Geometry 41 (1995) p.21-52
- Sur les espaces homogènes modèles de variétés compactes, avec F. Labourie, Publications Mathématiques de l'IHES 76 (1992) p.99-109
--------- RIGIDITY OF ANOSOV DYNAMICAL SYSTEMS ---------------- Orbites des structures rigides (d'après M. Gromov), Progress in Math. 145 (1997) p.1-17
* Sur les difféomorphismes d'Anosov à feuilletages différentiables, avec F. Labourie, CRAS 313 (1991) p.45-47 et Inventiones Mathematicae 111 (1993) p.285-308
* Flots d'Anosov à distributions stable et instable différentiables, avec P. Foulon et F. Labourie, CRAS 311 (1990) p.351-354 et Journal American Math. Soc. 5 (1992) p.33-74
- Flots d'Anosov à distributions de Liapounov différentiables, avec P. Foulon et F. Labourie, Annales de l'IHP 53 (1990) p.395-412
----------- MODULES OVER LIE ALGEBRAS -------------- Modules simples sur une algèbre de Lie nilpotente..., Annales Scientifiques de l'ENS 23 (1990) p.495-517
* Les modules simples sphériques d'une algèbre de Lie nilpotente, Compositio Mathematica 73 (1990) p.295-327
- Des dérivations d'une algèbre de Lie nilpotente..., CRAS 307 (1988) p.901-904
- Coinvariants des g-modules n-localement nilpotents, Bulletin SMF 116 (1988) p.413-429
---------- UNITARY REPRESENTATIONS OF SOLVABLE LIE GROUPS --------------* Multiplicité un pour les espaces symétriques exponentiels, CRAS 296 (1983) p.489-492 et Mémoire SMF 15 (1984) p.1-37
- Analyse harmonique sur les espaces symétriques nilpotents, CRAS 295 (1982) p.59-62 et Journal of Functional Analysis 59 (1984) p.211-253
