Xavier Buff | Academic Influence

Xavier Buff's AcademicInfluence.com Rankings

Xavier Buff

Mathematics

#4881

World Rank

#6897

Historical Rank

Group Theory

#551

World Rank

#648

Historical Rank

Algebra

#866

World Rank

#1131

Historical Rank

Measure Theory

#5356

World Rank

#6341

Historical Rank

mathematics Degrees

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Mathematics

Xavier Buff's Degrees

PhD Mathematics Université Paris Cité
Masters Mathematics Université Paris Cité
Bachelors Mathematics Université Paris Cité

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Why Is Xavier Buff Influential?

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According to Wikipedia, Xavier Buff is a French mathematician, specializing in dynamical systems. Buff received in 1996 his Ph.D. from the University of Paris-Sud under Adrien Douady with thesis Points fixe de renormalisation. As a postdoc he was in the academic year 1997–1998 the H. C. Wang Assistant Professor at Cornell University. At the Paul Sabatier University he became in 1998 a maître de conférences, achieved in 2006 his habilitation with habilitation thesis Disques de Siegel et ensembles de Julia d'aire strictement positive, and became in 2008 a full professor.

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Xavier Buff's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Quadratic Julia Sets with Positive Area (2006) (83)
A two-dimensional polynomial mapping with a wandering Fatou component (2014) (60)
Siegel disks with smooth boundaries (2004) (47)
On König's root-finding algorithms* (2003) (42)
The Brjuno function continuously estimates the size of quadratic Siegel disks (2004) (41)
Bifurcation measure and postcritically finite rationalmap (2009) (40)
Julia Sets in Parameter Spaces (2001) (33)
A parabolic Pommerenke-Levin-Yoccoz inequality (2002) (33)
On Thurston's pullback map (2011) (32)
Upper bound for the size of quadratic Siegel disks (2004) (30)
Teichmüller spaces and holomorphic dynamics (2011) (26)
Antipode preserving cubic maps: the Fjord theorem (2015) (22)
Limits of Degenerate Parabolic Quadratic Rational Maps (2013) (20)
On Postcritically Finite Unicritical Polynomials (2018) (18)
Virtually repelling fixed points (2003) (16)
Questions about Polynomial Matings (2012) (16)
Quadratic polynomials, multipliers and equidistribution (2013) (16)
Virtual immediate basins of Newton maps and asymptotic values (2006) (16)
Dynamical convergence and polynomial vector fields (2007) (15)
From local to global analytic conjugacies (2007) (15)
Perturbations of flexible Lattès maps (2013) (15)
How regular can the boundary of a quadratic Siegel disk be (2007) (14)
The solar Julia sets of basic quadratic Cremer polynomials (2008) (12)
The quadratic dynatomic curves are smooth and irreducible (2011) (12)
Herman Rings and Arnold Disks (2005) (12)
The Mandelbrot Set, Theme and Variations: Baby Mandelbrot sets are born in cauliflowers (2000) (11)
Geometry of the Feigenbaum map (1997) (11)
Scaling Ratios and Triangles in Siegel Disks (1999) (10)
On the Bieberbach conjecture and holomorphic dynamics (2002) (9)
Twisted matings and equipotential gluings (2012) (9)
A new proof of a conjecture of Yoccoz, Remarks, New results (2006) (8)
Moduli spaces of curves, mapping class groups and field theory (2003) (7)
Rational maps with a preperiodic critical point (2018) (6)
Algorithmic Construction of Hurwitz Maps (2013) (6)
On the size of linearization domains (2008) (5)
B\"ottcher coordinates (2011) (5)
On the Size of Quadratic Siegel Disks: Part I (2003) (4)
Eigenvalues of the Thurston operator (2017) (3)
Fibonacci fixed point of renormalization (2000) (3)
Irreducibility and postcritically finite unicritical polynomials (2018) (3)
Wandering Fatou component for polynomials (2018) (2)
Perturbations of flexible Latt\`es maps (2011) (2)
Complex rotation numbers (2013) (2)
Prefixed curves in moduli space (2022) (2)
Factoring Gleason polynomials modulo 2 (2023) (2)
Farey Curves (2001) (2)
Quadratic Siegel Disks with Rough Boundaries (2003) (1)
On Antipode Preserving Cubic Maps , ( Draft of Feb . 15 , 2015 ) (2015) (1)
Rational maps with integer multipliers (2022) (1)
On the zeros and critical points of a rational map (2001) (1)
Limits of Degenerate Parabolic Quadratic Rational Maps (2013) (0)
Entire maps with rational preperiodic points and multipliers (2023) (0)
Quasiconformal Surgery in Holomorphic Dynamics: Soft surgeries (2014) (0)
Deformation of rotation rings (2014) (0)
Teichmüller spaces and holomorphic dynamics BUFF (2017) (0)
Smooth Siegel disks everywhere (2019) (0)
Totally real points in the Mandelbrot Set (2022) (0)
Julia sets with a wandering branching point (2018) (0)
2 The Thurston Algorithm The Thurston Theorem 2 (2018) (0)
Introduction to Fatou components in holomorphic dynamics (2023) (0)
Tips of tongues in the double standard family (2019) (0)

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