Fractals and Chaos

List of Chapters.- C1 Introduction to papers on quadratic dynamics: a progression from seeing to discovering (2003).- C2 Acknowledgments related to quadratic dynamics (2003).- C3 Fractal aspects of the iteration of z ? ? z (1-z) for complex A and z (M1980n).- C4 Cantor and Fatou dusts; self-squared dragons (M 1982F).- C5 The complex quadratic map and its M-set (M1983p).- C6 Bifurcation points and the “n squared” approximation and conjecture (M1985g), illustrated by M.L Frame and K Mitchell.- C7 The “normalized radical” of the M-set (M1985g).- C8 The boundary of the M-set is of dimension 2 (M1985g).- C9 Certain Julia sets include smooth components (M1985g).- C10 Domain-filling sequences of Julia sets, and intuitive rationale for the Siegel discs (M1985g).- C11 Continuous interpolation of the quadratic map and intrinsic tiling of the interiors of Julia sets (M1985n).- C12 Introduction to chaos in nonquadratic dynamics: rational functions devised from doubling formulas (2003).- C13 The map z ? ? (z + 1/z) and roughening of chaos from linear to planar (computer-assisted homage to K Hokusai) (M1984k).- C14 Two nonquadratic rational maps, devised from Weierstrass doubling formulas (1979–2003).- C15 Introduction to papers on Kleinian groups, their fractal limit sets, and IFS: history, recollections, and acknowledgments (2003).- C16 Self-inverse fractals, Apollonian nets, and soap (M 1982F).- C17 Symmetry by dilation or reduction, fractals, roughness (M2002w).- C18 Self-inverse fractals osculated by sigma-discs and limit sets of inversion (“Kleinian”) groups (M1983m).- C19 Introduction to measures that vanish exponentially almost everywhere: DLA and Minkowski (2003).- C20 Invariant multifractal measures in chaotic Hamiltonian systems and related structures(Gutzwiller & M 1988).- C21 The Minkowski measure and multifractal anomalies in invariant measures of parabolic dynamic systems (M1993s).- C22 Harmonic measure on DLA and extended self-similarity (M & Evertsz 1991).- C23 The inexhaustible function z squared plus c (1982–2003).- C24 The Fatou and Julia stories (2003).- C25 Mathematical analysis while in the wilderness (2003).- Cumulative Bibliography.