no. 3
Iteration of endomorphisms on the real axis and representation of numbers
Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Tome 29 (1978) no. 3, pp. 305-356. 
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     title = {Iteration of endomorphisms on the real axis and representation of numbers},
     journal = {Annales de l'institut Henri Poincar\'e. Section A, Physique Th\'eorique},
     pages = {305--356},
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     year = {1978},
     mrnumber = {519698},
     zbl = {0416.28012},
     language = {en},
     url = {http://archive.numdam.org/item/AIHPA_1978__29_3_305_0/}
}
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Derrida, B.; Gervois, A.; Pomeau, Y. Iteration of endomorphisms on the real axis and representation of numbers. Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Tome 29 (1978) no. 3, pp. 305-356. http://archive.numdam.org/item/AIHPA_1978__29_3_305_0/

[1] N. Metropolis, M.L. Stein and P.R. Stein, J. of Combinatorial theory, t. A 15, 1973, p. 25. | Zbl

See also J. Guckenheimer, Inventiones Math., t. 39, 1977, p. 165. | MR | Zbl

[2] A. Renyi, Acta Math. Acad. Sci. Hung., t. 8, 1957, p. 477. | MR | Zbl

[3] W. Parry, Acta Math. Acad. Sci. Hung,, t. 11, 1960, p. 401. | MR | Zbl

[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. | MR

[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. | MR | Zbl

[8] B. Derrida, Y. Pomeaiu, in preparation.

[9] J. Milnor, W. Thurston, « The kneading matrix ». Preprint, IHES(1977). | MR

[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. | MR | Zbl

[12] P. Štefan, Private communication.

[13] A. Lasota, J.A. Yorke, Trans. Amer. Math. Soc., t. 18b, 1973, p. 481. | MR | Zbl