- 96-691 Jung, W.
- Some explicit formulas for components of the Mandelbrot set
Dec 31, 96
(auto. generated ps),
of related papers
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.