Xavier Buff
Publications
Publications
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The affine geometry of meromorphic connections with irregular singularities2025 |
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Conjugacies of geodesic flows in affine cylinders and tori2025 |
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Totally Real Points in the Mandelbrot Set2025 |
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Introduction to Fatou components in holomorphic dynamics2023 |
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On the stability of holomorphic families of endomorphisms of $P^k$2024 |
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Quadratic polynomials, multipliers and equidistribution2013 |
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THE QUADRATIC DYNATOMIC CURVES ARE SMOOTH AND IRREDUCIBLE2011 |
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Teichmüller spaces and holomorphic dynamics2011 |
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Böttcher coordinates2010 |
Entire maps with rational preperiodic points and multipliersErgodic Theory and Dynamical Systems, 2023, pp.1-23. ⟨10.48550/arXiv.2304.13674⟩ |
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Rational maps with a preperiodic critical pointAmerican Journal of Mathematics, 2022, 144 (6), pp.1485-1509. ⟨10.1353/ajm.2022.0036⟩ |
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Tips of Tongues in the Double Standard FamilyNonlinearity, 2021, 34 (12), pp.8174-8191. ⟨10.1088/1361-6544/ac2d80⟩ |
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Eigenvalues of the Thurston operatorJournal of topology, 2020, 13 (3), pp.969-1002. ⟨10.1112/topo.12145⟩ |
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Julia sets with a wandering branching pointIndiana University Mathematics Journal, 2020, 69 (6), pp.2239-2265. ⟨10.1512/iumj.2020.69.8056⟩ |
Antipode preserving cubic maps: the Fjord theoremProceedings of the London Mathematical Society, 2018, 116 (3), pp.670-728 |
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Wandering Fatou component for polynomialsAnnales de la Faculté des Sciences de Toulouse. Mathématiques., 2018, 27 (2), pp.445-475 |
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On postcritically finite unicritical polynomialsNew York Journal of Mathematics, 2018 |
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A two-dimensional polynomial mapping with a wandering Fatou componentAnnals of Mathematics, 2016, 184 (1), pp.263-313. ⟨10.4007/annals.2016.184.1.2⟩ |
Quadratic polynomials, multipliers and equidistributionProceedings of the American Mathematical Society, 2015, 143 (7), pp.3011-3017 |
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Algorithmic Construction of Hurwitz MapsExperimental Mathematics, 2015, 24 (1), pp.76-92 |
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Complex rotation numbersJournal of modern dynamics, 2015, 9 (01), pp.169-190 |
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Perturbations of flexible Lattès mapsBulletin de la société mathématique de France, 2013, 141 (4), pp.603-614 |
Limits of degenerate parabolic quadratic rational mapsGeometric And Functional Analysis, 2013, 23 (1), p. 42-95. ⟨10.1007/s00039-012-0203-6⟩ |
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Böttcher CoordinatesIndiana University Mathematics Journal, 2012, 61 (5), pp.1765-1799 |
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Questions about polynomial matingsAnnales de la Faculté des Sciences de Toulouse. Mathématiques., 2012, 21 (5), pp.1149-1176. ⟨10.5802/afst.1365⟩ |
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Twisted matings and equipotential gluingsAnnales de la Faculté des Sciences de Toulouse. Mathématiques., 2012, 21 (5), pp.995-1031. ⟨10.5802/afst.1360⟩ |
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Quadratic Julia sets with positive areaAnnals of Mathematics, 2012, 176 (2), p. 673-746. ⟨10.4007/annals.2012.176.2.1⟩ |
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A new proof of a conjecture of YoccozAnnales de l'Institut Fourier, 2011, 61 (1), pp.319-350. ⟨10.5802/aif.2603⟩ |
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Courants dynamiques pluripolairesAnnales de la Faculté des Sciences de Toulouse. Mathématiques., 2011, 20 (1), pp.203-214 |
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The solar Julia sets of basic quadratic Cremer polynomialsErgodic Theory and Dynamical Systems, 2010, 30 (01), pp.51-65. ⟨10.1017/S0143385708000990⟩ |
On the size of linearization domainsMathematical Proceedings of the Cambridge Philosophical Society, 2008, 145 (2), pp.443-456. ⟨10.1017/S0305004108001436⟩ |
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Dynamical convergence and polynomial vector fieldsJournal of Differential Geometry, 2007, 77 (1), 1-41. projecteuclid.org/euclid.jdg/1185550814 |
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Adrien Douady et la dynamique des polynômes complexesGazette des Mathématiciens, 2007, 113, pp.51-56 |
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How regular can the boundary of a quadratic Siegel disk be?Proceedings of the American Mathematical Society, 2007, 135 (4), pp.1073-1080. ⟨10.1090/S0002-9939-06-08578-9⟩ |
Dynamical convergence and polynomial vector fieldsJournal of Differential Geometry, 2007, Accepté pour publication |
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From local to global analytic conjugaciesErgodic Theory and Dynamical Systems, 2007, 27 (4), pp.1073-1094. ⟨10.1017/S0143385707000041⟩ |
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Smooth Siegel disks everywhereSome aspects of the theory of dynamical systems: a tribute to Jean-Christophe Yoccoz, Volume II, 416, pp.133-180, 2020, Astérisque, 978-2-85629-917-3. ⟨10.24033/ast.1112⟩ |
Deformation of rotation ringsQuasiconformal surgery in holomorphic dynamics, 2014 |
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Teichmüller spaces and holomorphic dynamicsHandbook of Teichmüller theory. Vol. IV, European Mathematical Society Publishing House, pp.717-756, 2014 |
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The quadratic dynatomic curves are smooth and irreducibleFrontiers in complex dynamics, Princeton Univ. Press, Princeton, NJ, pp.49-72, 2014 |
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Bifurcation measure and postcritically finite rational mapsSchleicher Dierk. Complex dynamics : families and friends, A K Peters, pp.491-512, 2009 |
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On Thurston's pullback mapSchleicher Dierk. Complex dynamics : families and friends, A K Peters, pp.561-583, 2009 |
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La mesure d'équilibre d'un endomorphisme de P^k(C)Séminaire Bourbaki Volume 2004/2005 Exposés 938-951, 2006, 978-285629-224-2. ⟨10.24033/ast.702⟩ |