John H. Hubbard | Academic Influence

John H. Hubbard's AcademicInfluence.com Rankings

John H. Hubbard

Mathematics

#1608

World Rank

#2604

Historical Rank

#654

USA Rank

Measure Theory

#2418

World Rank

#2892

Historical Rank

#689

USA Rank

mathematics Degrees

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Mathematics

John H. Hubbard's Degrees

PhD Mathematics Princeton University

Why Is John H. Hubbard Influential?

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According to Wikipedia, John Hamal Hubbard is an American mathematician and professor at Cornell University and the . He is known for the mathematical contributions he made with Adrien Douady in the field of complex dynamics, including a study of the Mandelbrot set. One of their most important results is that the Mandelbrot set is connected.

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John H. Hubbard'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

On the dynamics of polynomial-like mappings (1985) (698)
Quadratic differentials and foliations (1979) (447)
A proof of Thurston's topological characterization of rational functions (1993) (418)
Teichmüller Theory and Applications to Geometry, Topology, and Dynamics (2016) (248)
The iteration of cubic polynomials Part I: The global topology of parameter space (1988) (229)
Local connectivity of Julia sets and bifurcation loci: three theorems of J (1993) (202)
How to find all roots of complex polynomials by Newton’s method (2001) (181)
Hénon mappings in the complex domain I: The global topology of dynamical space (1994) (140)
Differential Equations: A Dynamical Systems Approach (2013) (126)
The iteration of cubic polynomials Part II: patterns and parapatterns (1992) (125)
Henon mappings in the complex domain II: projective and inductive limits of polynomials (1994) (110)
The classification of critically preperiodic polynomials as dynamical systems (1992) (93)
Hénon Mappings in the Complex Domain (1995) (83)
On the density of strebel differentials (1975) (81)
Andreev’s Theorem on hyperbolic polyhedra (2006) (80)
The classification of topologically expansive lorenz maps (1990) (77)
HAIRS FOR THE COMPLEX EXPONENTIAL FAMILY (1999) (64)
An analytic construction of the Deligne-Mumford compactification of the moduli space of curves (2013) (54)
THE HENON MAPPING IN THE COMPLEX DOMAIN (1986) (54)
The Monodromy of Projective Structures (1981) (53)
Student solution manual for the second edition of Vector calculus, linear algebra, and differential forms, a unified approach (1998) (44)
The Forced Damped Pendulum: Chaos, Complication and Control (1999) (41)
A compactification of Hénon mappings inC2 as dynamical systems (1997) (38)
The space of closed subgroups of R2 (1979) (36)
Multicorns are not path connected (2012) (31)
Exponential Thurston maps and limits of quadratic differentials (2008) (31)
Dynamical convergence of polynomials to the exponential (2000) (31)
The Spider Algorithm (2006) (30)
Differential equations: a dynamical systems approach. Part I: ordinary differential equations (1991) (26)
Newton’s method applied to two quadratic equations in ℂ² viewed as a global dynamical system (2008) (23)
Systems of Differential Equations (1995) (22)
Parametrizing Unstable and Very Unstable Manifolds (2005) (21)
An existence theorem for multimeron solutions to classical Yang-Mills field equations (1979) (21)
A proof of Kolmogorov's theorem (2003) (20)
Vector Calculus, Linear Algebra, and Differential Forms: A Unified Approach (5th edition) (2015) (19)
ON THE COHOMOLOGY OF NASH SHEAVES (1972) (18)
A Fatou–Bieberbach domain avoiding a neighborhood of a variety of codimension 2 (2000) (17)
What It Means to Understand a Differential Equation (1994) (13)
On the convex hull genus of space curves (1980) (13)
Groups of automorphisms of trees and their limit sets (1997) (12)
A Geometric View of Rational Landen Transformations (2003) (11)
MacMath 9.2 - a dynamical systems software package for the Macintosh (1993) (9)
A Topological Characterization of Postsingularly Finite Exponential Maps and Limits of Quadratic Differentials (2005) (9)
On the existence and uniqueness of Strebel differentials (1976) (8)
Linked Solenoid Mappings and the Non-Transversality Locus Invariant (2001) (8)
Degree-d-invariant Laminations (2019) (8)
A First Look at Differential Algebra (2011) (7)
Surface homeomorphisms and rational functions (2016) (7)
A new link between teichmuller theory and complex dynamics (2008) (6)
A New Look at the Airy Equation with Fences and Funnels (1994) (6)
Linear Dynamical Systems (1993) (5)
Ordinary differential equations (1991) (5)
Schwarz's lemma and the Kobayashi and Carathéodory pseudometrics on complex Banach manifolds (2003) (5)
Flat structures and complex structures in teichmuller theory (2009) (5)
Matings and the other side of the dictionary (2012) (4)
A proof of the uniformization theorem for arbitrary plane domains (1988) (4)
A note on nonrigid Nash structures (1971) (4)
Topology for the basins of attraction of newton's method in two complex variables (2005) (4)
Dynamique des applications à allure polynomiale (1983) (3)
The Convergence of an Euler Approximation of an Initial Value Problem Is Not Always Obvious (2001) (3)
The KAM Theorem (2007) (3)
Farey Curves (2001) (2)
Andreev ’ s Classification of Hyperbolic Polyhedra ∼ 2 Remerciements ∼ Thanks (2004) (2)
Equidistribution of Horocyclic Flows on Complete Hyperbolic Surfaces of Finite Area (2007) (1)
Technology and Differential Equations (2013) (1)
ON THE COHOMOLOGY OF (2002) (1)
MacMath 9.2 (1993) (1)
Systems of Nonlinear Differential Equations (1995) (1)
Ratner's Theorem on Horocyclic Flows (2007) (1)
ON THE DYNAMICS OF POLYNOMIAL-LIKE MAPPINGS BY ADRIEN DOUADY (2003) (1)
Hyperbolic structures on three-manifolds that fiber over the circle (2006) (1)
SCHWARZ’S LEMMA AND THE KOBAYASHI AND CARATHÉODORY METRICS ON COMPLEX BANACH MANIFOLDS (2002) (1)
MacMath 9.0 (1992) (0)
General Overview of Program Operation (1993) (0)
Reviews (2003) (0)
Visualization and Dynamical Systems (2002) (0)
Permutations of Integers and pseudo-Anosov maps (2019) (0)
DiffEq, 3D Views (1993) (0)
An Elementary Proof of Poincar\'e's Last Geometric Theorem (2021) (0)
1D Periodic Equations (1993) (0)
DiffEq, Phase Plane (1993) (0)
A PROOF OF KOLMOGOROV’S THEOREM Dedicated to Prof. Vishik on the occasion of his 80th birthday (2008) (0)
Fundamental Inequality, Existence, and Uniqueness (1991) (0)
J an 2 00 6 Andreev ’ s Theorem on hyperbolic polyhedra (2006) (0)
Quick Synopsis of Programs (1993) (0)
Higher-Dimensional systems (1995) (0)
Creating pseudo-Anosov Maps from Permutations and Matrices (2019) (0)

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