Iteration of endomorphisms on the real axis and representation of numbers
B. Derrida; A. Gervois; Y. Pomeau
Annales de l'I.H.P. Physique théorique (1978)
- Volume: 29, Issue: 3, page 305-356
- ISSN: 0246-0211
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top- [1] N. Metropolis, M.L. Stein and P.R. Stein, J. of Combinatorial theory, t. A 15, 1973, p. 25. Zbl0259.26003
- See also J. Guckenheimer, Inventiones Math., t. 39, 1977, p. 165. Zbl0354.58013MR438399
- [2] A. Renyi, Acta Math. Acad. Sci. Hung., t. 8, 1957, p. 477. Zbl0079.08901MR97374
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- [4] A.N. Šarkovskii, Ukrainian Math. J., t. 16, n° 1, 1964, p. 61.
- [5] P. Štefan, Comm. Math. Phys., t. 54, 1977, p. 237. MR445556
- [6] M.Y. Cosnard, A. Eberhard, Sur les cycles d'une application continue de la variable réelle, Séminaire analyse numérique n° 274 Lab. Math. Appl., 1977. Université Scientifique et Mathématique de Grenoble, U. S. M.G.
- [7] T.Y. Li and J.A. Yorke, A. M. M., t. 82, 10, 1975, p. 985. Zbl0351.92021MR385028
- [8] B. Derrida, Y. Pomeaiu, in preparation.
- [9] J. Milnor, W. Thurston, « The kneading matrix ». Preprint, IHES(1977). MR500978
- [10] B. Derrida, A. Gervois, Y. Pomeau, in preparation.
- [11] R.L. Adler, A.G. Konheim and M.H. Mc Andrew, Trans. Amer. Math. Soc., t. 114, 1965, p. 309. Zbl0127.13102MR175106
- [12] P. Štefan, Private communication.
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