Publications, prépublications et autres documents
Autre format de présentation : tableau.
Travail universitaire
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)
Autres