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On the dynamics of polynomial-like mappings

- A. Douady, J. Hubbard
- Mathematics
- 1985

Applications de type polynomial. Familles analytiques de telles applications. Resultats negatifs. Familles a un parametre d'applications de degre 2. Petites copies de M dans M. Carrottes pour le… Expand

Quadratic differentials and foliations

- J. Hubbard, H. Masur
- Mathematics
- 1 July 1979

This paper concerns the interplay between the complex structure of a Riemann surface and the essentially Euclidean geometry induced by a quadratic differential. One aspect of this geometry is the "… Expand

A proof of Thurston's topological characterization of rational functions

- A. Douady, J. Hubbard
- Mathematics
- 1 September 1993

The criterion proved in this paper was stated by Thurston in November 1982. Thurston lectured on its proof on several occasions, notably at the NSF summer conference in Duluth, 1983, where one of the… Expand

How to find all roots of complex polynomials by Newton’s method

- J. Hubbard, D. Schleicher, S. Sutherland
- Mathematics
- 1 October 2001

Abstract.We investigate Newton’s method to find roots of polynomials of fixed degree d, appropriately normalized: we construct a finite set of points such that, for every root of every such… Expand

The iteration of cubic polynomials Part I: The global topology of parameter space

- Bodil Branner, J. Hubbard
- Mathematics
- 1 July 1988

Fonctions univalentes en dynamique analytique complexe. Torsion de la structure complexe. Topologie globale de l'espace parametre

Teichmüller Theory and Applications to Geometry, Topology, and Dynamics

- J. Hubbard
- Mathematics
- 1 April 2016

This volume is the second of four volumes devoted to Teichmuller theory and its applications to geometry, topology, and dynamics. The first volume gave an introduction to Teichmuller theory.
Volumes… Expand

Hénon mappings in the complex domain I: The global topology of dynamical space

- J. Hubbard, R. Oberste-vorth
- Mathematics
- 1 December 1994

© Publications mathématiques de l’I.H.É.S., 1994, tous droits réservés. L’accès aux archives de la revue « Publications mathématiques de l’I.H.É.S. » (http://… Expand

On the density of strebel differentials

- A. Douady, J. Hubbard
- Mathematics
- 1 June 1975

w 1. Statement of the Main Result Let X be a compact Riemann surface of genus g > 2 and denote by O the sheaf of germs of holomorphic differential 1-forms on X. Let q~H~ ~| be a nonzero holomorphic… Expand

Hénon Mappings in the Complex Domain

- J. Hubbard, R. Oberste-vorth
- Mathematics
- 1995

Let H: ℂ2 → ℂ2 be the Henon mapping given by
$$ \left[ {_y^x} \right] \mapsto \left[ {_x^{p(x) - ay}} \right] $$
The key invariant subsets are K ±, the sets of points with bounded forward… Expand

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