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Abstract: J c . This set assumes one of two topological types: Either J c is connected or J c is a Cantor set. In the latter case, the action of Q c on the Julia set is equivalent to the one-sided 2-shift. The well known Mandelbrot set M is a picture of this dichotomy: If c lies in M , the Julia set is connected; outside M , J c is a Cantor set. If we follow a closed loop in the complement of M , the return to the original position induces an automorphism of the shift. If this loop winds once around M ,... (Update)
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BibTeX entry: (Update)
@misc{ devaney-complex,
author = "Robert L. Devaney",
title = "Complex Dynamics and Symbolic Dynamics",
url = "citeseer.ist.psu.edu/492313.html" }
Citations (may not include all citations):46 Endomorphisms and Automorphisms of the Shift Dynamical Syste.. (context) - Hedlund - 1969
23 Symbolic Dynamics and Coding (context) - Lind, Marcus - 1995
4 Chaos and Fractals: The Mathematics Behind the Computer Grap.. (context) - Devaney, Keen - 1989
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
2 Marker Automorphisms of the One-Sided d-Shift (context) - Ashley - 1990
2 Julia Sets (context) - Keen - 1989
2 Automorphisms of the One-Sided Shift and Subshifts of Finite.. (context) - Boyle, Franks et al. - 1990
Documents on the same site (http://www.math.usouthal.edu/~williams/ams.html):
Strong Shift Equivalence and Positive Algebraic K-Theory - Wagoner (Correct)
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