### Publications et prépublications :

Diophantine approximation on matrices and Lie groups (with Menny Aka, Lior Rosenzweig and Nicolas de Saxce), (52p.), pdf

Entropy of Bernoulli convolutions and uniform exponential growth for linear groups (with Peter Varjù), (29p.), pdf

Nilprogressions and groups with moderate growth (with Matthew Tointon), (37p.), pdf

C*-simplicity and the unique trace
property for discrete groups (with Mehrdad Kalantar, Matthew Kennedy and Narutaka Ozawa), (20p.), pdf

On metric diophantine approximation in matrices and Lie groups (with Menny Aka, Lior Rosenzweig and Nicolas de Saxce), (9p.), pdf

Expansion in simple groups of Lie type (with B. Green, R. Guralnick and T. Tao), (73p.), pdf

Diophantine properties of nilpotent Lie groups (with Menny Aka, Lior Rosenzweig and Nicolas de Saxce), (30p.), pdf

On the rate of convergence to the asymptotic cone for nilpotent groups and subFinsler geometry (with Enrico Le Donne), (17p.) to appear in Proc. Nat. Acad. Sci, pdf

Longer version with full proofs: pdf

A nilpotent Freiman dimension lemma (with Ben Green and Terence Tao), (6p.) to appear in the Hamidoune Volume, pdf

The structure of approximate groups (with Ben Green and Terence Tao), (91p.) Publ. Math. IHES {\bf 116}, Issue 1, pp 115-221, (2012), pdf

On conjugacy growth for linear groups (with Yves de Cornulier, Alex Lubotzky and Chen Meiri), (21p), Math. Proc. Camb. Phil. Soc., 154, pp 261--277, (2013).

Strongly dense free subgroups of semisimple algebraic groups, (with Ben Green, Robert Guralnick and Terence Tao), (27p), Israel Journal of Math to appear, pdf

Conjugacy growth for solvable groups (with Yves de Cornulier), (6p), Illinois J. Math. 54(1) (2010), 389-395, Schupp volume, pdf

Approximate groups III: the unitary case (with Ben Green), (17p), Turkish J. Math. 36 (2012), no. 2, 199–215., pdf

Approximate subgroups of Linear Groups (with Ben Green and Terence Tao), (48p), Geom. And Funct. Anal.
Volume 21, Number 4, 774-819, (2011), pdf
and announcement (12p), Elec. Res. Ann. Volume 17, Pages 57–67 (September 2010), pdf

Suzuki groups as expanders (with Ben Green and Terence Tao), (17p), Groups, Geometry and Dynamics, Volume 5, Issue 2, pp. 281–299 (2011), Grunewald volume, pdf

Strong uniform expansion in SL(2,p) (with Alex Gamburd), (8p), Geom. and Funct. Anal. Vol. 20-5 (2010), 1201-1209, pdf

Approximate groups, II: the solvable linear case (with Ben Green), (10p), Quarterly Journal of Math 62(3): 513-521, (2011) pdf

Approximate groups, I: the torsion-free nilpotent case (with Ben Green), (23p), to appear in J. de l'Institut de Math. de Jussieu, 2010,
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From random walks to rough paths, (with Peter Friz et Martin Huesmann), Proc. Amer. Math. Soc. 137 (2009), no. 10, 3487--3496
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Heights on SL(2) and free subgroups, (34p), in ``Geometry, Rigidity, and Group Actions'' Eds B. Farb and D. Fisher (Zimmer's Festschrift), Chicago Univ. Press (2011) pdf

A Strong Tits Alternative (40p.), preprint 2008. (see a video of a talk on this paper and the one above and below given at MSRI in November 2008).
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A Height Gap Theorem for finite subsets of GL_d and non amenable subgroups, Annals of Math, volume 174-2, pp. 1057-1110 (2011) pdf

Equidistribution of dense subgroups on nilpotent Lie groups (20p.), in Ergodic Theory and Dynamical Systems, Volume 30, Issue 01, (2010) pp 131-150
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Geometry of groups of polynomial growth and shape of large balls (42p.) preprint 2007, and revised version 2012 , now appeared in Groups Geom. Dyn. 8 (2014), 1–-64.

Uniform independence in linear groups, (avec T. Gelander), Invent. Math. 173 (2008), no. 2, 225--263.
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On uniform exponential growth for solvable groups, in "Margulis Volume", Pure Appl. Math. Q. 3 (2007), no. 4, part 1, 949--967.
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Dense embeddings of surface groups, (avec
T.
Gelander, J. Souto, et P. Storm), Geometry And Topology 10 (20) (2006), 1373--1389:
:
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Random walks on Lie groups (survey, 45p.), preprint 2006.
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Cheeger constant and algebraic entropy of linear groups (avec
T. Gelander ) International Mathematical Research Notices, IMRN 56
(2005) 3511-3523:
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Local limit theorems and equidistribution of random walks on the
Heisenberg group, Geom. Funct. Anal (GAFA), 15 (2005) no 1, 49p.
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Distributions diophantiennes et théorème limite local
sur R^d, Probability Theory and Related Fields, 132 (2005) no 1, 30p.:
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A topological version of the Tits alternative (avec T. Gelander ), Annals of Math (2) 166 (2007), no. 2, 427--474.
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On dense free subgroups of Lie groups (avec T.Gelander ),
Journal of Algebra \textbf{261} (2003), no. 2, 448--467.
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