Preprints



This is a list of some of my preprints.
Please, e-mail me if you have any problem getting them.

A two-dimensional polynomial mapping with a wandering Fatou component (with M. Astorg, R. Dujardin, H. Peters and J. Raissy)    PDF

Complex Rotation Numbers (with N. Goncharuk)    PDF

Quadratic polynomials, multipliers and equidistribution (with T. Gauthier) to appear in Proceedings of the A.M.S.    PDF

Algorithmic Construction of Hurwitz Maps (with L. Bartholdi, H.-C. Graf von Bothmer and J. Kröker) to appear in Experimental Mathematics    PDF

Teichmüller spaces and holomorphic dynamics (with G. Cui and L. Tan)    PDF

The quadratic dynatomic curves are smooth and irreducible (with L. Tan) in Frontiers in Complex Dynamics In Celebration of John Milnor's 80th Birthday, edited by A. Bonifant, M. Lyubich, & S. Sutherland, Princeton Univ. Press (2014) p. 49-71.    PDF

Deformation of rotation rings (with C. Henriksen) in Quasiconformal surgery in holomorphic dynamics, B. Branner and N. Fagella, Cambridge University Press (2014) p. 189-206.   

Perturbations of Flexible Lattès Maps (with T. Gauthier) Bulletin de la SMF 141, fascicule 4 (2013), p. 603-614    PDF

Limits of Degenerate Parabolic Quadratic Rational Maps (with J. Ecalle and A. Epstein), Geometric And Functional Analysis, Vol. 23/1 1 (2013), p. 42-95.    PDF

Böttcher coordinates (with A. Epstein and S. Koch) Indiana Univ. Math. J. 61 (2012), no. 5, p. 1765-1799.    PDF

Twisted Matings and Equipotential Gluings (with A.L. Epstein and S. Koch) Annales de la faculté des sciences de Toulouse, Sér. 6 Vol. 21 no. S5 (2012), p. 995-1031.    PDF

Questions about polynomial matings (with A.L. Epstein, S. Koch, D. Meyer, K. Pilgrim, M. Rees and Tan L.) Annales de la Faculté des Sciences de Toulouse, Sér. 6 Vol. 21 no. S5 (2012), p. 1149-1176.    PDF

Quadratic Julia sets with positive area (with A. Chéritat) Annals of Math. (2012) 176/2, p. 673-746    PDF

A new proof of a conjecture of Yoccoz (with A. Chéritat) Annales de l'institut Fourier (2011)61/1, p. 319-350    PS   PDF

Courants dynamiques pluripolaires, Annales de la faculté des sciences de Toulouse Sér. 6 (2011), 20/1, p. 203-214    PDF

Quadratic Julia Sets with Positive Area (ICM 2010) (with A. Chéritat)    PDF

The solar Julia sets of basic quadratic Cremer polynomials (with A. Block, A. Chéritat and L. Oversteegen), Ergodic Theory and Dynamical Systems (2010) 30/1, p. 51-65.    PDF

On Thurston's pullback map (with A. Epstein, S. Koch and K. Pilgrim), in "Complex dynamics, families and friends", edited by D. Schleicher   (2009) p. 561-583.    PDF

Bifurcation Measure and Postcritically Finite Rational Maps (with A. Epstein), in "Complex dynamics, families and friends", edited by D. Schleicher   (2009) p. 491-512.    PDF

On the size of linearization domains (with C. Petersen), Math. Proc. Camb. Phil. Soc. (2008) 145, p. 443-456    PDF

From Local to Global Analytic Conjugacies (with A. Epstein), Erg. Th. and Dyn. Sys. (2007) 27/4, p. 1073-1094    PDF

Dynamical Convergence and Polynomial Vector Fields (with Tan Lei), J. Differential Geom. Volume 77, Number 1 (2007), p. 1-41.    PDF

Virtual Immediate Basins of Newton Maps and Asymptotic Values (with J. Rückert), I.M.R.N. (2006), Article ID 65498, p. 1-18.   PDF

The Yoccoz Function Continuously Estimates the Size of Siegel Disks (with A. Chéritat), Annals of Math (2006), 164, p. 265-312.    PS   PDF

Ensembles de Julia quadratiques de mesure de Lebesgue strictement positive (with A. Chéritat), C. R. Acad. Sci. Paris (2005) 341/11, p. 669-674.   PDF

Herman Rings and Arnold Disks (with N. Fagella, L. Geyer and C. Henriksen), J. of the London Math. Soc. (2005), 72/2, p. 689-716   PDF

La mesure d'équilibre d'un endomorphisme de Pk(C) [d'après Briend et Duval], Séminaire Nicolas Bourbaki 939 (2004).    PDF

How regular can the boundary of a quadratic Siegel disk be? (with A. Chéritat), Proc. of the A.M.S. (2007), 135/4, p. 1073-1080.    PDF

Upper Bound for the Size of Quadratic Siegel Disks (with A. Chéritat), Inventiones Mathematicae (2004) 156/1, 1-24.   PDF

Siegel Disks with Smooth Boundaries (with A. Avila and A. Chéritat), Acta Mathematica (2004) 193, 1-30.    PDF

On König's Root-Finding Algorithms (with C. Henriksen), Nonlinearity (2003), 16, p. 989-1015.   PDF

On the Bieberbach conjecture and Holomorphic Dynamics, Proc. Amer. Math. Soc. 131 (2003), p. 755-759.   PDF

Virtually Repelling Fixed Points, Publicacions Matemàtiques (2003), 47, 195-209   PDF

A Parabolic Yoccoz Inequality  (with A. L. Epstein), Fundamenta Mathematicae (2002), 172, p. 249-289   PDF

Julia Sets in Parameter Spaces (with C. Henriksen), Communications in Mathematical Physics (2001) , 220, p. 333-375.   PDF  
The original publication is available on LINK at http://link.springer.de

On the zeros and critical points of a rational map, Int. J. Math. Math. Sci. (2001), 28:4, p. 243-246.   PDF

Farey Curves (with C. Henriksen and J. H. Hubbard), Experimental Mathematics (2001), 10, p. 481-486.   PDF

Fibonacci Fixed Point of Renormalization, Ergodic Theory and Dynamical Systems (2000), 20, p. 1287-1317.   PDF

Scaling ratios and triangles in Siegel  disks (with C. Henriksen), Math. Research Letters (1999), 6, p. 293-305.   PDF

Geometry of the Feigenbaum map, Conformal Geometry and Dynamics (1999), 3, p. 79-101.   PDF

Membres de certains lieux de connexité.   PDF