A computer-assisted proof of the Feigenbaum conjectures
Oscar E. Lanford
Source: Bull. Amer. Math. Soc. (N.S.) Volume 6, Number 3
(1982), 427-434.
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Permanent link to this document: http://projecteuclid.org/euclid.bams/1183548786
Mathematical Reviews number (MathSciNet): MR648529
Zentralblatt MATH identifier: 0487.58017
References
1. M. Campanino, H. Epstein and D. Ruelle, On Feigenbaum's functional equation, (IHES preprint P/80/32 (1980)) Topology (to appear).
Mathematical Reviews (MathSciNet): MR641996
Digital Object Identifier: doi:10.1016/0040-9383(82)90001-5
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.
Zentralblatt MATH: 0474.58013
Mathematical Reviews (MathSciNet): MR612250
Digital Object Identifier: doi:10.1007/BF01942063
Project Euclid: euclid.cmp/1103908965
3. P. Collet and J. P. Eckmann, Iterated maps of the interval as dynamical systems, Birkhäuser, Boston-Basel-Stuttgart, 1980.
Zentralblatt MATH: 0458.58002
Mathematical Reviews (MathSciNet): MR613981
4. P. Collet, J. P. Eckmann and O. E. Lanford, Universal properties of maps on an interval, Comm. Math. Phys. 76 (1980), 211-254.
Zentralblatt MATH: 0455.58024
Mathematical Reviews (MathSciNet): MR588048
Digital Object Identifier: doi:10.1007/BF02193555
Project Euclid: euclid.cmp/1103908304
5. M. Feigenbaum, Quantitative universality for a class of non-linear transformations, J. Statist. Phys. 19 (1978), 25-52.
Zentralblatt MATH: 0509.58037
Mathematical Reviews (MathSciNet): MR501179
Digital Object Identifier: doi:10.1007/BF01020332
6. M. Feigenbaum, The universal metric properties of non-linear transformations, J. Statist. Phys. 21 (1979), 669-706.
Zentralblatt MATH: 0515.58028
Mathematical Reviews (MathSciNet): MR555919
Digital Object Identifier: doi:10.1007/BF01107909
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.
Zentralblatt MATH: 0454.58012
Mathematical Reviews (MathSciNet): MR582642
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.
Zentralblatt MATH: 0514.58028
Mathematical Reviews (MathSciNet): MR647487
Digital Object Identifier: doi:10.1007/BFb0097188
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