A Partial Description of the Parameter Space of Rational Maps of Degree Two, Part 2

@inproceedings{Rees1991APD,
  title={A Partial Description of the Parameter Space of Rational Maps of Degree Two, Part 2},
  author={Mary Rees},
  year={1991}
}
This continues the investigation of a combinatorial model for the variation of dynamics in the family of rational maps of degree two, by concentrating on those varieties in which one critical point is periodic. We prove some general results about nonrational critically finite degree two branched coverings, and finally identify the boundary of the rational maps in the combinatorial model, thus completing the proofs of results announced in Part 1. 

Citations

Publications citing this paper.

References

Publications referenced by this paper.
SHOWING 1-10 OF 12 REFERENCES

Travaux de Thurston sur les Surfaces. Astérisque

F-L-P Fahti, A Laudenbach, F Poénaru
  • Travaux de Thurston sur les Surfaces. Astérisque
  • 1989

On the bifurcation loci of rational maps of degree two

B Wittner
  • Thesis
  • 1988

Etudes dynamiques des polynômes complexes , avec la collaboration de P. Lavaurs, Tan Lei

D-H Douady, A Hubbard
  • Sentenac. Parts I and II, Publications Mathématiques d'Orsay
  • 1985

On the Combinatorics of Iterated Rational Maps

T Thurston
  • On the Combinatorics of Iterated Rational Maps
  • 1985

Anosov Diffeomorphisms

Fr, J Franks
  • Proc. Symposia in Pure Math
  • 1968

A Partial Description of the Parameter Space of Rational Maps of Degree Two. Part 1

M Rees
  • A Partial Description of the Parameter Space of Rational Maps of Degree Two. Part 1