Fixed points of polynomial maps. Part II. Fixed point portraits

@article{Goldberg1993FixedPO,
  title={Fixed points of polynomial maps. Part II. Fixed point portraits},
  author={L. Goldberg and J. Milnor},
  journal={Annales Scientifiques De L Ecole Normale Superieure},
  year={1993},
  volume={26},
  pages={51-98}
}
— Douady, Hubbard and Branner have introduced the concept of a "limb" in the Mandelbrot set. A quadratic map f(z) = z + c belongs to the p/q-limb if and only if there exist q external rays of its Julia set which land at a common fixed point of/, and which are permuted by/with combinatorial rotation number ^^Q/Z, p / q ^ O . (Compare Figure 1 and Appendix C, as well as Lemma 2.2.) This note will make a similar analysis of higher degree polynomials by introducing the concept of the "fixed point… Expand

References

SHOWING 1-6 OF 6 REFERENCES
Julia Sets and the Mandelbrot Set
Fixed Point Theory
An Introduction To Chaotic Dynamical Systems
The Lefschetz fixed point theorem
On the Pommerenke-Levin- Yoccoz inequality
  • preprint I.H.E.S.
  • 1991
DOUADY, Systemes dynamiques holomorphes (Seminaire Bourbaki
  • annee
  • 1982