| Foreword |
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ix | |
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| Preface |
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1 | (8) |
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I QUADRATIC JULIA AND MANDELBROT SETS |
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Introduction to papers on quadratic dynamics: a progression from seeing to discovering (2003) |
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9 | (18) |
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Acknowledgments related to quadratic dynamics (2003) |
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27 | (10) |
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Fractal aspects of the iteration of z → λ z (1-z) for complex λ and z (M1980n) |
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37 | (15) |
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Cantor and Fatou dusts ; self-squared dragons (M 1982F) |
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52 | (21) |
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The complex quadratic map and its M-set (M1983p) |
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73 | (23) |
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Bifurcation points and the ``n squared'' approximation and conjecture (M1985g) |
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96 | (4) |
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The ``normalized radical'' of the M-set (M1985g) |
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100 | (10) |
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The boundary of the M-set is of dimension 2 (M1985g) |
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110 | (4) |
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Certain Julia sets include smooth components (M1985g) |
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114 | (3) |
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Domain-filling sequences of Julia sets, and intuitive rationale for the Siegel discs (M1985g) |
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117 | (8) |
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Continuous interpolation of the quadratic map and intrinsic tiling of the interiors of Julia sets (M1985n) |
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125 | (12) |
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II NONQUADRATIC RATIONAL DYNAMICS |
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Introduction to chaos in nonquadratic dynamics: rational functions devised from doubling formulas (2003) |
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137 | (9) |
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The map z → λ (z + 1/ z) and roughening of chaos from linear to planar (computer-assisted homage to K. Hokusai) (M1984k) |
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146 | (11) |
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Two nonquadratic rational maps, devised from Weierstrass doubling formulas (1979-2003) |
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157 | (14) |
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III ITERATED NONLINEAR FUNCTION SYSTEMS AND THE FRACTAL LIMIT SETS OF KLEINIAN GROUPS |
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Introduction to papers on Kleinian groups, their fractal limit sets, and IFS: history, recollections, and acknowledgments (2003) |
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171 | (7) |
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Self-inverse fractals, Apollonian nets, and soap (M 1982F) |
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178 | (15) |
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Symmetry by dilation or reduction, fractals, roughness (M2002w) |
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193 | (12) |
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Self-inverse fractals osculated by sigma-discs and limit sets of inversion (``Kleinian'') groups (M1983m) |
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205 | (16) |
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IV MULTIFRACTAL INVARIANT MEASURES |
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Introduction to measures that vanish exponentially almost everywhere: DLA and Minkowski (2003) |
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221 | (10) |
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Invariant multifractal measures in chaotic Hamiltonian systems and related structures (Gutzwiller & M 1988) |
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231 | (8) |
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The Minkowski measure and multifractal anomalies in invariant measures of parabolic dynamic systems (M1993s) |
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239 | (12) |
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Harmonic measure on DLA and extended self-similarity (M & Evertsz 1991) |
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251 | (8) |
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The inexhaustible function z squared plus c (1982-2003) |
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259 | (9) |
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The Fatou and Julia stories (2003) |
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268 | (8) |
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Mathematical analysis while in the wilderness (2003) |
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276 | (5) |
| Cumulative Bibliography |
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281 | (18) |
| Index |
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299 | |
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