Fixed points of polynomial maps. Part II. Fixed point portraits
Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 26 (1993) no. 1, pp. 51-98.
     author = {Goldberg, Lisa and Milnor, John Willard},
     title = {Fixed points of polynomial maps. Part II. Fixed point portraits},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     pages = {51--98},
     publisher = {Elsevier},
     volume = {Ser. 4, 26},
     number = {1},
     year = {1993},
     doi = {10.24033/asens.1667},
     zbl = {0771.30028},
     mrnumber = {95d:58107},
     language = {en},
     url = {}
Goldberg, Lisa R.; Milnor, John. Fixed points of polynomial maps. Part II. Fixed point portraits. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 26 (1993) no. 1, pp. 51-98. doi : 10.24033/asens.1667.

[At1] P. Atela, The Mandelbrot Set and σ-Automorphisms of Quotients of the Shift, preprint PAM # 20, Applied Math, U. of Colorado. | Zbl 0766.30019

[At2] P. Atela, Bifurcation of Dynamical Rays in Complex Polynomials of Degree two, preprint PAM # 52, Applied Math, U. of Colorado. | Zbl 0768.58034

[Bi] B. Bielefeld, Conformal Dynamics Problem List, Stony Brook Institute for Mathematical Sciences Preprint, 1990/1991.

[B1] P. Blanchard, Complex Analytic Dynamics on the Riemann Sphere (Bull. Amer. Math. Soc., Vol. 11, 1984, pp. 84-141). | MR 85h:58001 | Zbl 0558.58017

[Br] B. Branner, The Mandelbrot Set, in Chaos and Fractals, DEVANEY and KEEN Eds. (A.M.S., Proc. Symp. Applied Math., Vol. 39, 1989). | MR 1010237 | Zbl 0677.58004

[Brn] R. F. Brown, The Lefschetz Fixed Point Theorem, Scott-Foresman 1971. | MR 44 #1023 | Zbl 0216.19601

[BD] B. Branner and A. Douady, Surgey on Complex Polynomials (to appear).

[BFH] B. Bielefeld, Y. Fisher and J. H. Hubbard, manuscript in preparation.

[BH] B. Branner and J. H. Hubbard, The Iteration of Cubic Polynomials, Part I, Acta Math., 1989 ; Part II, to appear. | Zbl 0668.30008

[D1] A. Douady, Systèmes dynamiques holomorphes (Séminaire Bourbaki, 35e année 1982/1983, No. 599). | Numdam | Zbl 0532.30019

[D2] A. Douady, Julia Sets and the Mandelbrot Set, pp. 161-173 of The Beauty of Fractals, PEITGEN and RICHTER Eds., Springer, 1986.

[De] R. Devaney, Introduction to Chaotic Dynamical Systems, Addison-Wesley, 1985, 1989. | Zbl 0695.58002

[DGr] J. Dugundji and A. Granas, Fixed Point Theory, Polish Scientific Publishers, Warsaw, 1982. | MR 83j:54038 | Zbl 0483.47038

[DH1] A. Douady and J. H. Hubbard, Itération des polynômes quadratiques complexes (C. R. Acad. Sci. Paris, T. 294, Séries I, 1982, pp. 123-126). | MR 83m:58046 | Zbl 0483.30014

[DH2] A. Douady and J. H. Hubbard, Étude dynamique des polynômes complexes, Parts I, II, Publ. Math. Orsay, 1984-1985. | Zbl 0552.30018

[DH3] A. Douady and J. H. Hubbard, A proof of Thurston's Topological Characterization of Rational Functions, preprint, Mittag-Leffler 1984.

[DH4] A. Douady and J. H. Hubbard, On the Dynamics of Polynomial-like Mappings (Ann. Sci. Ec. Norm. Sup., Vol. 18, 1985, pp. 287-343). | Numdam | MR 87f:58083 | Zbl 0587.30028

[dM] W. De Melo, Lectures on One-Dimensional Dynamics (17° Colóq. Brasil. Mat., I.M.P.A., 1989).

[Fi] Y. Fisher, Thesis, Cornell Univ. 1989.

[Gr] A. Granas, The Leray-Schauder Index and the Fixed Point Theory for arbitrary ANR's (Bull. Soc. Math. France, Vol. 100, 1972, pp. 209-228). | Numdam | MR 46 #8213 | Zbl 0236.55004

[HJ] S. Hu and Y. Jiang, Towards Topological Classification of Critically Finite Polynomials (in preparation).

[Ji] B. Jiang, Lectures on Nielsen Fixed Point Theory (Contemp. Math., Vol. 14, A.M.S., 1983). | MR 84f:55002 | Zbl 0512.55003

[Le] S. Levy, Critically Finite Rational Maps (Thesis, Princeton University, 1985).

[Ly] M. Lyubich, The Dynamics of Rational Transforms : The Topological Picture (Russ. Math. Surv., Vol. 41, 4, 1986, pp. 43-117). | Zbl 0619.30033

[M1] J. Milnor, Self-Similarity and Hairiness in the Mandelbrot set, pp. 211-257 of Computers in Geometry and Topology, TANGORA Ed., Lect. Notes Pure Appl. Math., Vol. 114, Dekker, 1989). | MR 90c:58086 | Zbl 0676.58036

[M2] J. Milnor, Dynamics in one Complex Variable : Introductory Lectures, Stony Brook I.M.S. Preprint 1990/1995.

[Part I] L. R. Goldberg, Fixed Points of Polynomial Maps, Part I, Rotation subsets of the circle. | Numdam | Zbl 0771.30027

[Pe] C. Petersen, On the Pommerenke-Levin-Yoccoz inequality, preprint I.H.E.S., 1991.

[Po1] A. Poirier, On the Realization of Fixed Point Portraits, Stony Brook I.M.S., Preprint, 1991/2000.

[Po2] A. Poirier, On Postcritically Finite Polynomials (Thesis, Stony Brook, in preparation).

[Su] D. Sullivan, Conformal Dynamical Systems, pp. 725-752 of Geometric Dynamics, PALIS Ed., Lecture Notes Math., No. 1007, Springer, 1983). | MR 85m:58112 | Zbl 0524.58024

[Th1] W. Thurston, On the Combinatorics of Iterated Rational Maps, preprint, Princeton University, circa, 1985.

[Th2] W. Thurston, Three-dimensional Geometry and Topology (to appear).

[Ve] P. Veerman, Symbolic dynamics of order preserving orbits, Physica, Vol. 29D, 1987, pp. 191-201. | MR 89h:58133 | Zbl 0625.28012