Publications, preprints, and other documents

Other presentation : list.

Category Journal/University Title Co-authors Pages Files Size
Exposé de fin de 1ère année à l'ENS. Le spectre d'une variété riemannienne Laurent Berger 11 Zipped Postscript 82 KB
Mémoire de DEA Petites copies de l'ensemble de Mandelbrot dans les éléphants 31 Zipped Postscript
Zipped Postscript 1290 KB
120 KB
Article Revue des Mathématiques de l'enseignement Supérieur, Avril 1999 Fractions rationnelles associatives et corps quadratiques 18 Zipped Postscript 143 KB
Prépublication Orsay, n° 99-77, 1999 Estimates on the speed of explosion of the parabolic fixed points of quadratic polynomials and applications 24 Zipped Postscript 388 KB
Thèse, Orsay, décembre 2001 Orsay, décembre 2001 Recherche d'ensembles de Julia de mesure de Lebesgue positive 227 Zipped Postscript
PDF
Zipped Postscript 3663 KB
4287 KB
492 KB
" Errata 1 Postscript 134 KB
Addendum à la thèse arXiv math.DS/0306375 Cage de Faraday 13 Zipped Postscript 88 KB
Prépublication Toulouse III, n°242, mai 2002 Quadratic Siegel disks with smooth boundaries Xavier Buff 26 Gzipped Postscript 370 KB
Article Acta Mathematica, 2004, [Vol. 193, pp 1-30] Siegel disks with smooth boundaries Artur Avila
Xavier Buff 25 Postscript 380 KB
Note aux CRAS Comptes Rendus Mathématiques, 2002, [n°334/12, pp. 1107-1112] Sur la vitesse d'explosion des points fixes paraboliques dans la famille quadratique 6 Zipped Postscript 68 KB
Prépublication Toulouse III, n°267, mai 2003 (arXiv math.DS/0305080) On the size of quadratic Siegel disks. Part I Xavier Buff 20 Zipped Postscript 225 KB
Article Inventiones Mathematicae, april 2004, [Vol. 156/1, pp. 1-24]. Upper bound for the size of quadratic Siegel disks Xavier Buff 20 Gzipped Postscript 121 KB
Article Conformal Geometry & Dynamics, 2006 [Vol 10, pp. 227-256] Ghys-like models for Lavaurs and simple entire maps 32 Zipped Postscript 660 KB
Pré-article arXiv math.DS/0309067 Quadratic Siegel disks with rough boundaries Xavier Buff 9 Zipped Postscript 162 KB
Article Proceedings of the AMS, 2007 [Vol 135, pp. 1073-1080] How regular can the boundary of a quadratic Siegel disk be? Xavier Buff 6 Zipped Postscript 142 KB
Article Annals of Mathematics, 2006 [Vol 164/1, pp. 265-312] The Brjuno Function Continuously Estimates the Size of Siegel Disks Xavier Buff 32 Gzipped Postscript 429 KB
Note aux CRAS Comptes Rendus Mathématiques, 2004, [n°338/4, pp. 301-304] Une nouvelle preuve d'un théorème de Yoccoz 4
In Proceedings Dynamics on the Riemann Sphere (a Bodil Branner Festschrift), EMS, 2006 Parabolic explosion and the size of Siegel disks in the quadratic family 6 Zipped Postscript
Zipped Postscript 214 KB
127 KB
Pré-article arXiv math.DS/0409384 The measure of quadratic Julia-Lavaurs sets with a bounded type virtual Siegel disk is zero 13 Gzipped PDF 207 KB
Pré-article arXiv math.DS/0410003 Ghys-like models providing trick for a class of simple maps 32 Zipped Postscript 592 KB
Pré-article arXiv math.DS/0507250 Semi-continuity of Siegel disks under parabolic implosion 9 Gzipped PDF 254 KB
Note aux CRAS Comptes Rendus Mathématiques, 2005, [n°341/11, pp. 669-674] Ensembles de Julia quadratiques de mesure de Lebesgue strictement positive Xavier Buff 6
Pré-article arXiv math.DS/0604470 A new proof of a conjecture of Yoccoz, Remarks, New results Xavier Buff 10
Pré-article arXiv math.DS/0605514 Quadratic Julia Sets with Positive Area Xavier Buff 23
Pré-article arXiv:0812.1239 The solar Julia sets of basic quadratic Cremer polynomials Xavier Buff
Alexander Blokh
Lex Oversteegen
Article Ergodic Theory and Dynamical Systems, 2010, [volume 30, issue 01, pp. 51-65] The solar Julia sets of basic quadratic Cremer polynomials Xavier Buff
Alexander Blokh
Lex Oversteegen
Mémoire d'habiliation à diriger des recherches Sur l'implosion parabolique, la taille des disques de Siegel & une conjecture de Marmi, Moussa et Yoccoz 130 PDF 1438 KB
Pré-article arXiv:0811.2601 Beltrami forms, affine surfaces and the Schwarz-Christoffel formula: a worked out example of straightening 32
Article Annals of Mathematics, 2012, [Volume 176, issue 2, pp. 673-746] Quadratic Julia sets with positive area Xavier Buff
In book Book: "Complex Dynamics, Families and Friends" 2009 [Editor: Dierk Schleicher, Publisher: AK Peters] The hunt for Julia sets with positive measure
Article Mathematische Annalen, 2011 [Volume 349, Issue 3, pp. 529-542] Relatively compact Siegel disks with non-locally connected boundaries
Review SMF, 200? [Volume ?] The Mandelbrot Set, Theme and Variations
Review Foundations of Computational Mathematics: Volume 12, Issue 1 (2012), Page 123-137 Braverman and Yampolsky: Computability of Julia Sets
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 Xavier Buff 32
Pré-article arXiv:0906.1048 Relatively compact Siegel disks with non-locally connected boundaries 11
Pré-article arXiv:1111.4629 Herman's condition and Siegel disks of polynomials Pascale Roesch 17
Pré-article arXiv:1202.4188 Tan Lei and Shishikura's example of non-mateable degree 3 polynomials without a Levy cycle 35
Pré-article arXiv:1210.5384 A Proof of the Marmi-Moussa-Yoccoz conjecture for rotation numbers of high type Davoud Cheraghi 42
Pré-article arXiv:1311.7520 (math.CV) Proof of a convergence of affine Riemann surfaces to a richer one 20
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. 46
Comptes Rendus Mathématiques 2015 [Vol. 353, no. 8, pp. 711-715] A refinement of the Gauss-Lucas theorem (after W. P. Thurston) Gao Yan
Ou Yafei
Tan Lei 6
Inventiones Mathematicae 2015 [Vol. 202, no. 2, pp. 677-742] A proof of the Marmi-Moussa-Yoccoz conjecture for rotation numbers of high type Davoud Cheraghi 66
Communications in Mathematical Physics 2016 [Vol. 344, no. 2, pp. 397-426] Herman’s condition and Siegel disks of bi-critical polynomials Pascale Roesch 30
Science China. Mathematics 2018 [Vol. 61, no. 12, pp. 2139–2156] Bounded type Siegel disks of finite type maps with few singular values. Adam Epstein 18
Pré-article arXiv:1701.03276 Generic 1-parameter pertubations of a vector field with a singular point of codimension k Christiane Rousseau 47
Pré-article arXiv:1809.02586 Location of Siegel capture polynomials in parameter spaces Alexander Blokh
Lex Oversteegen
Vladlen Timorin 47
Pré-article arXiv:1911.10056 Smooth Siegel disks everywhere Artur Ávila
Xavier Buff 39
Pré-article arXiv:2003.13337 On the size of Siegel disks with fixed multiplier for cubic polynomials 49
In Astérisque 416 (2020) Some aspects of the theory of dynamical systems: a tribute to Jean-Christophe Yoccoz, Volume II Smooth Siegel disks everywhere Artur Ávila
Xavier Buff 48
Nonlinearity (2021) [Volume 34, Number 4] Location of Siegel capture polynomials in parameter spaces Alexander Blokh
Lex Oversteegen
Vladlen Timorin 24
Arnold Mathematical Journal (2022) [Vol. 8, no. 2, pp. 169–270]. Near parabolic renormalization for unicritical holomorphic maps
Pré-article arXiv:2212.12614 Similarity surfaces, connections, and the measurable Riemann mapping theorem Guillaume Tahar 95
Pré-article arXiv:2302.12543 Stiff connections in pseudo-Euclidean manifolds Guillaume Tahar 51
Pré-article arXiv:2407.05359 Observations on the hex clusters of the Spectre tilings 136
Pré-article arXiv:2410.20179 Cubic Siegel polynomials and the bifurcation measure Davoud Cheraghi
Matthieu Astorg 14

Category	Journal/University	Title	Co-authors	Pages	Files	Size
Exposé de fin de 1ère année à l'ENS.		Le spectre d'une variété riemannienne	Laurent Berger	11	Zipped Postscript	82 KB
Mémoire de DEA		Petites copies de l'ensemble de Mandelbrot dans les éléphants		31	Zipped Postscript Zipped Postscript	1290 KB 120 KB
Article	Revue des Mathématiques de l'enseignement Supérieur, Avril 1999	Fractions rationnelles associatives et corps quadratiques		18	Zipped Postscript	143 KB
Prépublication	Orsay, n° 99-77, 1999	Estimates on the speed of explosion of the parabolic fixed points of quadratic polynomials and applications		24	Zipped Postscript	388 KB
Thèse, Orsay, décembre 2001	Orsay, décembre 2001	Recherche d'ensembles de Julia de mesure de Lebesgue positive		227	Zipped Postscript PDF Zipped Postscript	3663 KB 4287 KB 492 KB
"		Errata		1	Postscript	134 KB
Addendum à la thèse	arXiv math.DS/0306375	Cage de Faraday		13	Zipped Postscript	88 KB
Prépublication	Toulouse III, n°242, mai 2002	Quadratic Siegel disks with smooth boundaries	Xavier Buff	26	Gzipped Postscript	370 KB
Article	Acta Mathematica, 2004, [Vol. 193, pp 1-30]	Siegel disks with smooth boundaries	Artur Avila Xavier Buff	25	Postscript	380 KB
Note aux CRAS	Comptes Rendus Mathématiques, 2002, [n°334/12, pp. 1107-1112]	Sur la vitesse d'explosion des points fixes paraboliques dans la famille quadratique		6	Zipped Postscript	68 KB
Prépublication	Toulouse III, n°267, mai 2003 (arXiv math.DS/0305080)	On the size of quadratic Siegel disks. Part I	Xavier Buff	20	Zipped Postscript	225 KB
Article	Inventiones Mathematicae, april 2004, [Vol. 156/1, pp. 1-24].	Upper bound for the size of quadratic Siegel disks	Xavier Buff	20	Gzipped Postscript	121 KB
Article	Conformal Geometry & Dynamics, 2006 [Vol 10, pp. 227-256]	Ghys-like models for Lavaurs and simple entire maps		32	Zipped Postscript	660 KB
Pré-article	arXiv math.DS/0309067	Quadratic Siegel disks with rough boundaries	Xavier Buff	9	Zipped Postscript	162 KB
Article	Proceedings of the AMS, 2007 [Vol 135, pp. 1073-1080]	How regular can the boundary of a quadratic Siegel disk be?	Xavier Buff	6	Zipped Postscript	142 KB
Article	Annals of Mathematics, 2006 [Vol 164/1, pp. 265-312]	The Brjuno Function Continuously Estimates the Size of Siegel Disks	Xavier Buff	32	Gzipped Postscript	429 KB
Note aux CRAS	Comptes Rendus Mathématiques, 2004, [n°338/4, pp. 301-304]	Une nouvelle preuve d'un théorème de Yoccoz		4
In Proceedings	Dynamics on the Riemann Sphere (a Bodil Branner Festschrift), EMS, 2006	Parabolic explosion and the size of Siegel disks in the quadratic family		6	Zipped Postscript Zipped Postscript	214 KB 127 KB
Pré-article	arXiv math.DS/0409384	The measure of quadratic Julia-Lavaurs sets with a bounded type virtual Siegel disk is zero		13	Gzipped PDF	207 KB
Pré-article	arXiv math.DS/0410003	Ghys-like models providing trick for a class of simple maps		32	Zipped Postscript	592 KB
Pré-article	arXiv math.DS/0507250	Semi-continuity of Siegel disks under parabolic implosion		9	Gzipped PDF	254 KB
Note aux CRAS	Comptes Rendus Mathématiques, 2005, [n°341/11, pp. 669-674]	Ensembles de Julia quadratiques de mesure de Lebesgue strictement positive	Xavier Buff	6
Pré-article	arXiv math.DS/0604470	A new proof of a conjecture of Yoccoz, Remarks, New results	Xavier Buff	10
Pré-article	arXiv math.DS/0605514	Quadratic Julia Sets with Positive Area	Xavier Buff	23
Pré-article	arXiv:0812.1239	The solar Julia sets of basic quadratic Cremer polynomials	Xavier Buff Alexander Blokh Lex Oversteegen
Article	Ergodic Theory and Dynamical Systems, 2010, [volume 30, issue 01, pp. 51-65]	The solar Julia sets of basic quadratic Cremer polynomials	Xavier Buff Alexander Blokh Lex Oversteegen
Mémoire d'habiliation à diriger des recherches		Sur l'implosion parabolique, la taille des disques de Siegel & une conjecture de Marmi, Moussa et Yoccoz		130	PDF	1438 KB
Pré-article	arXiv:0811.2601	Beltrami forms, affine surfaces and the Schwarz-Christoffel formula: a worked out example of straightening		32
Article	Annals of Mathematics, 2012, [Volume 176, issue 2, pp. 673-746]	Quadratic Julia sets with positive area	Xavier Buff
In book	Book: "Complex Dynamics, Families and Friends" 2009 [Editor: Dierk Schleicher, Publisher: AK Peters]	The hunt for Julia sets with positive measure
Article	Mathematische Annalen, 2011 [Volume 349, Issue 3, pp. 529-542]	Relatively compact Siegel disks with non-locally connected boundaries
Review	SMF, 200? [Volume ?]	The Mandelbrot Set, Theme and Variations
Review	Foundations of Computational Mathematics: Volume 12, Issue 1 (2012), Page 123-137	Braverman and Yampolsky: Computability of Julia Sets
	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	Xavier Buff	32
Pré-article	arXiv:0906.1048	Relatively compact Siegel disks with non-locally connected boundaries		11
Pré-article	arXiv:1111.4629	Herman's condition and Siegel disks of polynomials	Pascale Roesch	17
Pré-article	arXiv:1202.4188	Tan Lei and Shishikura's example of non-mateable degree 3 polynomials without a Levy cycle		35
Pré-article	arXiv:1210.5384	A Proof of the Marmi-Moussa-Yoccoz conjecture for rotation numbers of high type	Davoud Cheraghi	42
Pré-article	arXiv:1311.7520 (math.CV)	Proof of a convergence of affine Riemann surfaces to a richer one		20
	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.		46
	Comptes Rendus Mathématiques 2015 [Vol. 353, no. 8, pp. 711-715]	A refinement of the Gauss-Lucas theorem (after W. P. Thurston)	Gao Yan Ou Yafei Tan Lei	6
	Inventiones Mathematicae 2015 [Vol. 202, no. 2, pp. 677-742]	A proof of the Marmi-Moussa-Yoccoz conjecture for rotation numbers of high type	Davoud Cheraghi	66
	Communications in Mathematical Physics 2016 [Vol. 344, no. 2, pp. 397-426]	Herman’s condition and Siegel disks of bi-critical polynomials	Pascale Roesch	30
	Science China. Mathematics 2018 [Vol. 61, no. 12, pp. 2139–2156]	Bounded type Siegel disks of finite type maps with few singular values.	Adam Epstein	18
Pré-article	arXiv:1701.03276	Generic 1-parameter pertubations of a vector field with a singular point of codimension k	Christiane Rousseau	47
Pré-article	arXiv:1809.02586	Location of Siegel capture polynomials in parameter spaces	Alexander Blokh Lex Oversteegen Vladlen Timorin	47
Pré-article	arXiv:1911.10056	Smooth Siegel disks everywhere	Artur Ávila Xavier Buff	39
Pré-article	arXiv:2003.13337	On the size of Siegel disks with fixed multiplier for cubic polynomials		49
	In Astérisque 416 (2020) Some aspects of the theory of dynamical systems: a tribute to Jean-Christophe Yoccoz, Volume II	Smooth Siegel disks everywhere	Artur Ávila Xavier Buff	48
	Nonlinearity (2021) [Volume 34, Number 4]	Location of Siegel capture polynomials in parameter spaces	Alexander Blokh Lex Oversteegen Vladlen Timorin	24
	Arnold Mathematical Journal (2022) [Vol. 8, no. 2, pp. 169–270].	Near parabolic renormalization for unicritical holomorphic maps
Pré-article	arXiv:2212.12614	Similarity surfaces, connections, and the measurable Riemann mapping theorem	Guillaume Tahar	95
Pré-article	arXiv:2302.12543	Stiff connections in pseudo-Euclidean manifolds	Guillaume Tahar	51
Pré-article	arXiv:2407.05359	Observations on the hex clusters of the Spectre tilings		136
Pré-article	arXiv:2410.20179	Cubic Siegel polynomials and the bifurcation measure	Davoud Cheraghi Matthieu Astorg	14