96-691 Jung, W.

Some explicit formulas for components of the Mandelbrot set (11K, LaTeX209) Dec 31, 96

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Abstract. Let f be rational function, which has k n-cycles under iteration. By using the symmetry of the underlying equation of degree kn, it is reduced to equations of degree k and n. This is explained in terms of Galois theory. The 3- and 4-cycles of f(z)=z^2+c are obtained explicitly. This yields the corresponding multiplier, which maps hyperbolic components of the Mandelbrot set conformally onto the unit disk.

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