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Abstract: In this paper we describe a remarkable connection between the group of automorphisms of the one-sided d-shift and the topology of the parameter plane for complex polynomial dynamical systems. (Update)
Active bibliography (related documents): More All
1.2: Complex Dynamics and Symbolic Dynamics - Devaney (Correct)
0.8: Quasiconformal Homeomorphisms and Dynamics III: The.. - McMullen, Sullivan (1998) (Correct)
0.6: Tying Hairs for Structurally Stable Exponentials - Bhattacharjee, Devaney (1998) (Correct)
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BibTeX entry: (Update)
@misc{ blanchard-complex,
author = "Paul Blanchard and Robert L. Devaney and Linda Keen",
title = "Complex Dynamics and Symbolic Dynamics",
url = "citeseer.ist.psu.edu/623279.html" }
Citations (may not include all citations):508 The Fractal Geometry of Nature (context) - Mandelbrot - 1982
46 Endomorphisms and Automorphisms of the Shift Dynamical Syste.. (context) - Hedlund - 1969
45 Lectures on Quasiconformal Mappings (context) - Ahlfors - 1966
33 the Dynamics of Polynomial-like Mappings (context) - Douady, Hubbard - 1985
28 Complex Analytic Dynamics on the Riemann Sphere (context) - Blanchard - 1984
26 Complex Dynamics and Renormalization (context) - McMullen - 1994
21 Etude Dynamique des Polyn^ome Complexes (context) - Douady, Hubbard
12 Sur les Equations Fonctionnelles (context) - Fatou - 1919
12 Homology and Dynamical Systems (context) - Franks - 1982
10 Dynamics in One Complex Variable (context) - Milnor - 2000
8 Solutions of the Fatou-Julia Problem on Wandering Domains (context) - Sullivan, Maps - 1985
5 The Riemann Mappings Theorem for Variable Metrics (context) - Ahlfors, Bers - 1960
4 Shift Automorphisms in the Henon Mapping (context) - Devaney, Nitecki - 1979
4 Complex Dynamical Systems: The Mathematics Behind the Mandel.. (context) - Devaney - 1994
4 The Dynamics of Complex Polynomials and Automorphisms of the.. (context) - Blanchard, Devaney et al. - 1991
4 Chaos and Fractals: The Mathematics Behind the Computer Grap.. (context) - Devaney, Keen - 1989
3 Iteration des Applications Fonctionelles (context) - Julia - 1918
3 the Solutions of Quasi-Linear Elliptic Partial Di erential E.. (context) - Morrey - 1938
3 eration des Polyn^omes quadratiques complexes (context) - Douady, Hubbard - 1982
2 Automorphisms of the One-Sided Shift and Subshifts of Finite.. (context) - Boyle, Franks et al. - 1990
2 The Mapping Class Group of a Generic Quadratic Rational Map .. (context) - Goldberg, Keen - 1990
2 Quasi Conformal Mappings (context) - Lehto, Virtannen - 1965
1 Chaotic Dynamics and Fractals (context) - Blanchard - 1986
1 The Iteration of Cubic Polynomials II: Patterns and Parapatt.. (context) - Branner, Hubbard - 1992
1 The Iteration of Cubic Polynomials I: The Global Topology of.. (context) - Branner, Hubbard - 1988
1 Marker Automorphisms of the One-Sided Shift (context) - Ashley
1 459-481 (context) - Wagoner, Symmetries - 1988
1 The global topology of dynamical space (context) - Hubbard, Oberste-Vorth et al. - 1994
Documents on the same site (http://math.bu.edu/people/bob/papers.html): More
Indecomposable Continua in Exponential Dynamics - Devaney, Jarque (2001) (Correct)
Tying Hairs for Structurally Stable Exponentials - Bhattacharjee, Devaney (1998) (Correct)
Cantor Bouquets, Explosions, and Knaster Continua: Dynamics of.. - Devaney (1998) (Correct)
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