Preprints
Hénon maps : a list of open problems Julia Xénelkis de Hénon, PDF
Entire maps with rational preperiodic points and multipliers (with I. Gorbovickis and V. Huguin) PDF
Entire or Rational Maps with Integer Multipliers (with T. Gauthier, V. Huguin and J. Raissy), To appear in the proceedings of the Simons Symposia on Algebraic, Complex, and Arithmetic Dynamics PDF
Totally Real Points in the Mandelbrot Set (with S. Koch) PDF
On a Theorem of Jakobson (with J.H. Hubbard) PDF
Rational maps with a preperiodic critical point (with A.L. Epstein and S. Koch) American Journal of Mathematics, (2022) 144/6, p. 1485-1509. PDF
On the factorization modulo 2 of quadratic Gleason polynomials (with W. Floyd, S. Koch and W. Parry) Journal de Théorie des Nombres de Bordeaux, (2022) 34/3, p. 787-812. PDF
Tips of Tongues in the Double Standard Family (with K. Banerjee, J. Canela and A.L. Epstein) Nonlinearity (2021) 34/12, p. 8174-8191. PDF
Smooth Siegel Disks Everywhere (with A. Avila and A. Chéritat) Astérisque (2020) 416, p. 133-180. PDF
Julia Sets With a Wandering Branching Point (with J. Canela and P. Roesch) Indiana University Mathematics Journal (2020) 69, p. 2241-2265. PDF
Eigenvalues of the Thurston Operator (with A.L. Epstein and S. Koch) Journal of Topology (2020) 13, p. 969-1002. PDF
On Postcritically Finite Unicritical Polynomials New York J. Math. (2018) 24, p. 1111-1122. PDF
Wandering Fatou Component for Polynomials in KAWA Lectures Notes, Annales de la faculté des sciences de Toulouse, Sér. 6 (2018) 27/2, p. 445-475 PDF
Antipode Preserving Cubic Maps: the Fjord Theorem (with A. Bonifant and J. Milnor) Proc. London Math. Soc. (2018) 116/3, p. 670-728. PDF
A two-dimensional polynomial mapping with a wandering Fatou component (with M. Astorg, R. Dujardin, H. Peters and J. Raissy) Annals of Maths (2016) 184, p. 263-313. PDF
Complex Rotation Numbers (with N. Goncharuk) Journal of Modern Dynamics (2015) 9, p. 169-190 PDF
Quadratic polynomials, multipliers and equidistribution (with T. Gauthier) Proceedings of the AMS (2015) 143/7, p. 3011-3017 PDF
Algorithmic Construction of Hurwitz Maps (with L. Bartholdi, H.-C. Graf von Bothmer and J. Kröker) Experimental Mathematics (2015) 24, p. 76-92. PDF
Teichmüller spaces and holomorphic dynamics (with G. Cui and L. Tan) in Handbook of Teichmüller theory, Vol. IV, ed. Athanase Papadopoulos, Société mathématique européenne (2014), p. 717-756. 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 (2013) 141/4, p. 603-614 PDF
Limits of Degenerate Parabolic Quadratic Rational Maps (with J. Ecalle and A. Epstein), Geometric And Functional Analysis (2013) 23/1, p. 42-95. PDF
Böttcher coordinates (with A. Epstein and S. Koch) Indiana Univ. Math. J. (2012), 61/5, 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 (2012) 21/5, 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 (2012) 21/5, 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.
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