Preprints



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

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

Böttcher coordinates (with A. Epstein and S. Koch)    PDF

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

Courants dynamiques pluripolaires    PDF

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

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

The solar Julia sets of basic quadratic Cremer polynomials (with A. Block, A. Chéritat and L. Oversteegen), to appear in Erg. Th. and Dyn. Sys.    PDF

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

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

Quadratic Julia sets with positive area (with A. Chéritat)    PDF

A new proof of a conjecture of Yoccoz (with A. Chéritat)    PS   PDF

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

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

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

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

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

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

How regular can the boundary of a quadratic Siegel disk be? (with A. Chéritat), Proc. of the A.M.S. (2007), 135/4, 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, 989-1015.   PDF

On the Bieberbach conjecture and Holomorphic Dynamics, Proc. Amer. Math. Soc. 131 (2003), 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, 249-289   PDF

Julia Sets in Parameter Spaces (with C. Henriksen), Communications in Mathematical Physics (2001) , 220, 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, 243-246.   PDF

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

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

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

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

Membres de certains lieux de connexité.   PDF