# Xavier Buff

#79,720

Most Influential Person Now

French mathematician

## Xavier Buff's AcademicInfluence.com Rankings

Xavier Buffmathematics Degrees

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

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Mathematics

## Xavier Buff's Degrees

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

## Similar Degrees You Can Earn

## Why Is Xavier Buff Influential?

(Suggest an Edit or Addition)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.

## Xavier Buff's Published Works

### 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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## Other Resources About Xavier Buff

## What Schools Are Affiliated With Xavier Buff?

Xavier Buff is affiliated with the following schools: