Jean-Christophe Yoccoz

Why Is Jean-Christophe Yoccoz Influential?

According to Wikipedia, Jean-Christophe Yoccoz was a French mathematician. He was awarded a Fields Medal in 1994, for his work on dynamical systems. Yoccoz died on 3 September 2016 at the age of 59. Biography Yoccoz attended the Lycée Louis-le-Grand, during which time he was a silver medalist at the 1973 International Mathematical Olympiad and a gold medalist in 1974. He entered the École Normale Supérieure in 1975, and completed an agrégation in mathematics in 1977.

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Jean-Christophe Yoccoz'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

Exponential mixing for the Teichmüller flow (2005) (187)
Stable intersections of regular Cantor sets with large Hausdorff dimensions (2001) (141)
Hölder Regularity of the Solutions of the Cohomological Equation for Roth Type Interval Exchange Maps (2004) (123)
The Brjuno Functions and Their Regularity Properties (1997) (119)
Continued Fraction Algorithms for Interval Exchange Maps: an Introduction ? (2003) (112)
Travaux de Herman sur les tores invariants (1992) (108)
A proof of Pesin's stable manifold theorem (1983) (108)
Interval exchange maps and translation surfaces (2009) (101)
Analytic linearization of circle diffeomorphisms (2002) (93)
Generalizations of some theorems of small divisors to non archimedean fields (1983) (93)
Julia and John (1994) (82)
Centralizers of Anosov diffeomorphisms on tori (1989) (74)
Homoclinic tangencies for hyperbolic sets of large Hausdorff dimension (1994) (61)
Rigidity of centralizers of diffeomorphisms (1989) (60)
Linearization of generalized interval exchange maps (2010) (54)
Introduction to Hyperbolic Dynamics (1995) (53)
Uniformly Hyperbolic Finite-Valued SL(2,R)-Cocycles (2008) (48)
Non-uniformly hyperbolic horseshoes arising from bifurcations of Poincaré heteroclinic cycles (2006) (45)
A criterion for the simplicity of the Lyapunov spectrum of square-tiled surfaces (2013) (42)
Champ self-consistent et méthode de projection (1966) (41)
Affine interval exchange maps with a wandering interval (2008) (38)
The action of the affine diffeomorphisms on the relative homology group of certain exceptionally symmetric origamis (2009) (36)
An Introduction To Small Divisors Problems (1992) (35)
Recent Developments in Dynamics (1995) (33)
Complex Brjuno functions (1999) (23)
Dynamical Systems and Small Divisors (2002) (22)
Homology of origamis with symmetries (2012) (17)
A PROOF OF JAKOBSON’S THEOREM (2015) (12)
A PROOF OF JAKOBSON’S THEOREM (2015) (12)
Some Properties of Real and Complex Brjuno Functions (2006) (12)
Zorich conjecture for hyperelliptic Rauzy–Veech groups (2016) (11)
Differentiable conjugacies of Morse-Smale diffeomorphisms (1990) (11)
$${SL(2, \mathbb{R})}$$SL(2,R) -invariant probability measures on the moduli spaces of translation surfaces are regular (2013) (10)
CR Manifolds Admitting a CR Contraction (2008) (10)
Non-accumulation de cycles limites (1988) (10)
On the cohomological equation for interval exchange maps (2003) (10)
Some open problems related to small divisors (2002) (9)
Hölder Regularity of the Solutions of the Cohomological Equation for Roth Type Interval Exchange Maps (2016) (9)
Implicit formalism for affine-like maps and parabolic composition (2001) (9)
Yoccoz: Complex Brjuno functions (6)
Small Divisors: Number Theory in Dynamical Systems (2011) (5)
Strong regularity. (2019) (5)
STRUCTURE OF LIGHT NUCLEI (1966) (5)
On Roth type conditions, duality and central Birkhoff sums for i.e.m. (2019) (4)
The Kontsevich–Zorich cocycle over Veech–McMullen family of symmetric translation surfaces (2017) (4)
Dynamical systems : Michael Herman Memorial volume (2006) (3)
T-forbidden electric dipole transition in 16O (1967) (3)
Geometric methods in dynamics : volume in honor of Jacob Palis (2003) (2)
A criterion for the simplicity of the Lyapunov spectrum of square-tiled surfaces (2014) (2)
Corrigendum: stable intersections of regular Cantor sets with large Hausdorf dimensions (2001) (2)
Dynamical Systems and Small Divisors: Lectures given at the C.I.M.E. Summer School held in Cetraro Italy, June 13-20, 1998 (2002) (1)
Corrigendum to “Homology of origamis with symmetries” (2016) (1)
Capture radiative des deutrons dans la rgion de la rsonance gante de 16O (1967) (1)
What is New Today in a Mathematician ’ s Work ? Conversation between (2020) (0)
The 2014 Fields Medals (2015) (0)
STABLE SETS OF CERTAIN NON-UNIFORMLY HYPERBOLIC HORSESHOES HAVE THE EXPECTED DIMENSION (2017) (0)
CALCULATION OF THE AVERAGE ENERGY OF NUCLEAR MATTER WITH SEPARABLE INTERACTIONS. (1967) (0)
STUDY OF CERTAIN REACTIONS (d,$gamma$) IN THE REGION OF EXCITATION OF THE GIANT RESONANCES (1961) (0)
Zorich conjecture for hyperelliptic Rauzy–Veech groups (2017) (0)
Small divisors for interval exchange maps (2015) (0)
SOCIÉTÉ MATHÉMATIQUE DE FRANCE (2020) (0)
INVESTIGATION OF A DOUBLE $gamma$ EMISSION IN THE 1.75-MEV MONOPOLAR TRANSITION OF Zr$sup 9$$sup 0$ (1961) (0)
OUTLINE OF THE 0 + EXCITED STATES (1961) (0)
Michael Robert Herman, 1942–2000 (2004) (0)
Bifurcations de points fixes elliptiques (1986) (0)
Invited lectures (2007) (0)
$gamma$ RADIATIONS PRODUCED BY THE BOMBARDMENT OF BERYLLIUM-9 BY DEUTERONS FROM 2 TO 5.6 MEV (1960) (0)

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Why Is Jean-Christophe Yoccoz Influential?