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Acta Mathematica

Volumn 169, Issue 1, 1992, Pages 229-325

The iteration of cubic polynomials Part II: patterns and parapatterns

(2) Branner, Bodil a Hubbard, John H b

a TECHNICAL UNIVERSITY OF DENMARK (Denmark)

b Department of Obstetrics Gynecology (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0346061454 PISSN: 00015962 EISSN: 18712509 Source Type: Journal
DOI: 10.1007/BF02392761 Document Type: Article

Times cited : (170)

References (18)

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- Blanchard, P., Symbols for cubics and other polynomials. To appear in Trans. Amer. Math. Soc.

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- Blanchard, P., Devaney, R. & Keen, L., Geometric realizations of automorphisms of the one-sided d-shift. Preprint, 1989.

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- The iteration of cubic polynomials. Part I: The global topology of parameter space
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- Branner, B.¹ Hubbard, J.H.²

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- Invariant sets under iteration of rational functions
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- A proof of the generalized Schoenflies theorem
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- Brown, M.¹

8
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- Douady, A. & Hubbard, J. H., Étude dynamique des polynômes complexes. Première partie (1984) et deuxième partie (1985). Publications Mathématiques d'Orsay.

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- On the dynamics of polynomial-like mappings
- (1985) Ann. Sci. École Norm. Sup. , vol.18 , Issue.4 , pp. 287-343
- Douady, A.¹ Hubbard, J.H.²

10
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- Sur les équations fonctionnelles
- (1919) Bull. Soc. Math. France , vol.47 , pp. 161-271
- Fatou, P.¹

11
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- Hubbard, J. H. & Oberste-Vorth, R., The dynamics of Henon mappings in the complex domain. Preprint, 1989.

12
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- Mémoires sur l'itération des fonctions rationelles
- (1918) J. Math. Pures Appl. , vol.4 , Issue.7 , pp. 47-245
- Julia, G.¹

13
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- Lavaurs, P., Thesis, Université de Paris-Sud Centre d'Orsay, 1989.

14
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- On the dynamics of rational maps
- (1983) Ann. Sci. École Norm. Sup. , vol.16 , Issue.4 , pp. 193-217
- Mañe, R.¹ Sad, P.² Sullivan, D.³

15
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- Milnor, J., Morse Theory. Princeton University Press, 1963.

16
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- Milnor, J., Remarks on iterated cubic maps. Preprint, 1986.

17
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- Milnor, J., Hyperbolic components in spaces of polynomial maps. Preprint, 1987.

18
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- Quasi-conformal homeomorphisms and dynamics. I: Solutions of the Fatou-Julia problem on wandering domains
- (1985) The Annals of Mathematics , vol.122 , pp. 401-418
- Sullivan, D.¹

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