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A computer-assisted proof of the Feigenbaum conjectures
Author(s):
Oscar E.
Lanford III
Journal:
Bull. Amer. Math. Soc.
6
(1982),
427-434.
MSC (1980):
Primary 58F14
MathSciNet review:
648529
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Additional information
References:
- 1.
- M. Campanino, H. Epstein and D. Ruelle, On Feigenbaum's functional equation, (IHES preprint P/80/32 (1980)) Topology (to appear). MR 641996
- 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. MR 612250
- 3.
- P. Collet and J. P. Eckmann, Iterated maps of the interval as dynamical systems, Birkhäuser, Boston-Basel-Stuttgart, 1980. MR 613981
- 4.
- P. Collet, J. P. Eckmann and O. E. Lanford, Universal properties of maps on an interval, Comm. Math. Phys. 76 (1980), 211-254. MR 588048
- 5.
- M. Feigenbaum, Quantitative universality for a class of non-linear transformations, J. Statist. Phys. 19 (1978), 25-52. MR 501179
- 6.
- M. Feigenbaum, The universal metric properties of non-linear transformations, J. Statist. Phys. 21 (1979), 669-706. MR 555919
- 7.
- O. E. Lanford, Remarks on the accumulation of period-doubling bifurcations. Mathematical Problems in Theoretical Physics, Lecture Notes in Physics, vol. 116, Springer-Verlag, Berlin and New York, 1980, pp. 340-342. MR 582642
- 8.
- O. E. Lanford, 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. MR 647487
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Additional Information:
DOI:
10.1090/S0273-0979-1982-15008-X
PII:
S 0273-0979(1982)15008-X
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