A computer-assisted proof of the feigenbaum conjectures

Bulletin of the American Mathematical Society

Volumn 6, Issue 3, 1982, Pages 427-434

  Lanford, Oscar E ^a,b  

^a INSTITUT DES HAUTES ÉTUDES SCIENTIFIQUES   (France)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84966250718     PISSN: 02730979     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0273-0979-1982-15008-X     Document Type: Article

References (8)

1. 1.M. Campanino, H. Epstein and D. Ruelle, On Feigenbaum’s functional equation, (IHES preprint P/80/32 (1980)) Topology (to appear).
2. M. Campanino and H. Epstein, On the existence of Feigenbaum’ s fixed point, (IHES preprint P/80/35 (1980)) Comm. Math. Phys. (1981), 261–302.
3. P. Collet and J. P. Eckmann, Iterated maps of the interval as dynamical systems, Birkhäuser, Boston-Basel-Stuttgart, 1980.
4. P. Collet, J. P. Eckmann and O. E. Lanford, Universal properties of maps on an interval, Comm. Math. Phys. 76 (1980), 211–254.
5. M. Feigenbaum, Quantitative universality for a class of non-linear transformations, J. Statist. Phys. 19 (1978), 25–52.
6. ——; The universal metric properties of non-linear transformations, J. Statist. Phys. 21 (1979), 669–706.
7. O. E. Lanford, Remarks on the accumulation of period-doubling bifurcations, Mathematical Problems in Theoretical Physics, Lecture Notes in Physics, vol. 116, SpringerVerlag, Berlin and New York, 1980, pp. 340–342.
8. ——; Smooth transformations of intervals, Séminaire Bourbaki, 1980/81, No. 563, Lecture Notes in Math., vol. 901, Springer-Verlag, Berlin, Heidelberg and New York, 1981, pp. 36–54.