Prépublications ou arXiv

• Orsay, n° 99-77, 1999 : Estimates on the speed of explosion of the parabolic fixed points of quadratic polynomials and applications
• Toulouse III, n°242, mai 2002 : Quadratic Siegel disks with smooth boundaries (avec Xavier Buff )
• Toulouse III, n°267, mai 2003 (arXiv math.DS/0305080) : On the size of quadratic Siegel disks. Part I (avec Xavier Buff )
• arXiv math.DS/0309067 : Quadratic Siegel disks with rough boundaries (avec Xavier Buff )
• arXiv math.DS/0409384 : The measure of quadratic Julia-Lavaurs sets with a bounded type virtual Siegel disk is zero
• arXiv math.DS/0410003 : Ghys-like models providing trick for a class of simple maps
• arXiv math.DS/0507250 : Semi-continuity of Siegel disks under parabolic implosion
• arXiv math.DS/0604470 : A new proof of a conjecture of Yoccoz, Remarks, New results (avec Xavier Buff )
• arXiv math.DS/0605514 : Quadratic Julia Sets with Positive Area (avec Xavier Buff )
• arXiv:0812.1239 : The solar Julia sets of basic quadratic Cremer polynomials (avec Xavier Buff , Alexander Blokh , Lex Oversteegen )
• arXiv:0811.2601 : Beltrami forms, affine surfaces and the Schwarz-Christoffel formula: a worked out example of straightening
• arXiv:0906.1048 : Relatively compact Siegel disks with non-locally connected boundaries
• arXiv:1111.4629 : Herman's condition and Siegel disks of polynomials (avec Pascale Roesch)
• arXiv:1202.4188 : Tan Lei and Shishikura's example of non-mateable degree 3 polynomials without a Levy cycle
• arXiv:1210.5384 : A Proof of the Marmi-Moussa-Yoccoz conjecture for rotation numbers of high type (avec Davoud Cheraghi )
• arXiv:1311.7520 (math.CV) : Proof of a convergence of affine Riemann surfaces to a richer one

Publications et articles soumis

• Acta Mathematica, 2004, [Vol. 193, pp 1-30] Siegel disks with smooth boundaries (avec Artur Avila , Xavier Buff )
• Comptes Rendus Mathématiques, 2002, [n°334/12, pp. 1107-1112] Sur la vitesse d'explosion des points fixes paraboliques dans la famille quadratique
• Inventiones Mathematicae, april 2004, [Vol. 156/1, pp. 1-24]. Upper bound for the size of quadratic Siegel disks (avec Xavier Buff )
• Conformal Geometry & Dynamics, 2006 [Vol 10, pp. 227-256] Ghys-like models for Lavaurs and simple entire maps
• Proceedings of the AMS, 2007 [Vol 135, pp. 1073-1080] How regular can the boundary of a quadratic Siegel disk be? (avec Xavier Buff )
• Annals of Mathematics, 2006 [Vol 164/1, pp. 265-312] The Brjuno Function Continuously Estimates the Size of Siegel Disks (avec Xavier Buff )
• Comptes Rendus Mathématiques, 2004, [n°338/4, pp. 301-304] Une nouvelle preuve d'un théorème de Yoccoz
• Dynamics on the Riemann Sphere (a Bodil Branner Festschrift), EMS, 2006 Parabolic explosion and the size of Siegel disks in the quadratic family
• Comptes Rendus Mathématiques, 2005, [n°341/11, pp. 669-674] Ensembles de Julia quadratiques de mesure de Lebesgue strictement positive (avec Xavier Buff )
• Ergodic Theory and Dynamical Systems, 2010, [volume 30, issue 01, pp. 51-65] The solar Julia sets of basic quadratic Cremer polynomials (avec Xavier Buff , Alexander Blokh , Lex Oversteegen )
• Annals of Mathematics, 2012, [Volume 176, issue 2, pp. 673-746] Quadratic Julia sets with positive area (avec Xavier Buff )
• Book: "Complex Dynamics, Families and Friends" 2009 [Editor: Dierk Schleicher, Publisher: AK Peters] The hunt for Julia sets with positive measure
• Mathematische Annalen, 2011 [Volume 349, Issue 3, pp. 529-542] Relatively compact Siegel disks with non-locally connected boundaries
• Annales de l'institut Fourier, 2011 [61 no. 1, pp. 319-350, doi: 10.5802/aif.2603]A new proof of a conjecture of Yoccoz (avec Xavier Buff)
• Annales de la Faculté des Sciences de Toulouse, Mathématiques 2012 [Série 6, Vol. 21, no. 5, pp. 935-980] Tan Lei and Shishikura's example of non-mateable degree 3 polynomials without a Levy cycle.
• Comptes Rendus Mathématiques 2015 [Vol. 353, no. 8, pp. 711-715] A refinement of the Gauss-Lucas theorem (after W. P. Thurston) (avec Gao Yan, Ou Yafei, Tan Lei)
• Inventiones Mathematicae 2015 [Vol. 202, no. 2, pp. 677-742] A proof of the Marmi-Moussa-Yoccoz conjecture for rotation numbers of high type (avec Davoud Cheraghi)
• Communications in Mathematical Physics 2016 [Vol. 344, no. 2, pp. 397-426] Herman’s condition and Siegel disks of bi-critical polynomials (avec Pascale Roesch)

Recensions (reviews)

• SMF, 200? [Volume ?] : The Mandelbrot Set, Theme and Variations
• Foundations of Computational Mathematics: Volume 12, Issue 1 (2012), Page 123-137 : Braverman and Yampolsky: Computability of Julia Sets

Autres

• Article : Fractions rationnelles associatives et corps quadratiques