The periodic points of renormalization

Annals of Mathematics

Volumn 147, Issue 3, 1998, Pages 543-584

  Martens, Marco ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032341073     PISSN: 0003486X     EISSN: None     Source Type: Journal    
DOI: 10.2307/120959     Document Type: Article

References (10)

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2. [CT] P. COULLET and C. TRESSER, Iteration d'endomorphismes et groupe de renormalisation, J. Phys. Colloq. C 539, C5-25 (1978), C. R. Acad. Sci. Paris 287 (1978).
3. H. EPSTEIN, New proofs of the existence of the Feigenbaum functions, Comm. Math. Phys. 106 (1986), 395-426.
4. _, Fixed points of composition operators II, Nonlinearity 2 (1989), 305-310.
5. [F] M. J. FEIGENBAUM, Quantitative universality for a class of nonlinear transformations, J. Statist. Phys. 19 (1978), 25-52.
6. O. E. LANFORD III, A computer-assisted proof of the Feigenbaum conjectures, Bull. Amer. Math. Soc. (N.S.) 6 (1982), 427-434.
7. [Ly] M. LYUBICH, Feigenbaum-Coullet-Tresser Universality and Milnor's Hairiness Conjecture, Ann. of Math., to appear.
8. C. MCMULLEN, Complex Dynamics and Renormalization, Ann. of Math. Stud. 135, Princeton University Press, Princeton, NJ, 1994.
9. [MS] W. DE MELO and S. VAN STRIEN, One-dimensional Dynamics, Springer-Verlag, New York, 1993.
10. [S] D. Sullivan, Bounds, quadratic differentials, and renormalization conjectures, Centennial Symposium, Amer. Math. Soc. (1992), 417-466.