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

How to cite

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Derrida, B., Gervois, A., and Pomeau, Y.. "Iteration of endomorphisms on the real axis and representation of numbers." Annales de l'I.H.P. Physique théorique 29.3 (1978): 305-356. <http://eudml.org/doc/76009>.

@article{Derrida1978,
author = {Derrida, B., Gervois, A., Pomeau, Y.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {iteration of endomorphisms on the real axis; representation of numbers},
language = {eng},
number = {3},
pages = {305-356},
publisher = {Gauthier-Villars},
title = {Iteration of endomorphisms on the real axis and representation of numbers},
url = {http://eudml.org/doc/76009},
volume = {29},
year = {1978},
}

TY - JOUR
AU - Derrida, B.
AU - Gervois, A.
AU - Pomeau, Y.
TI - Iteration of endomorphisms on the real axis and representation of numbers
JO - Annales de l'I.H.P. Physique théorique
PY - 1978
PB - Gauthier-Villars
VL - 29
IS - 3
SP - 305
EP - 356
LA - eng
KW - iteration of endomorphisms on the real axis; representation of numbers
UR - http://eudml.org/doc/76009
ER -

References

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  1. [1] N. Metropolis, M.L. Stein and P.R. Stein, J. of Combinatorial theory, t. A 15, 1973, p. 25. Zbl0259.26003
  2. See also J. Guckenheimer, Inventiones Math., t. 39, 1977, p. 165. Zbl0354.58013MR438399
  3. [2] A. Renyi, Acta Math. Acad. Sci. Hung., t. 8, 1957, p. 477. Zbl0079.08901MR97374
  4. [3] W. Parry, Acta Math. Acad. Sci. Hung,, t. 11, 1960, p. 401. Zbl0099.28103MR142719
  5. [4] A.N. Šarkovskii, Ukrainian Math. J., t. 16, n° 1, 1964, p. 61. 
  6. [5] P. Štefan, Comm. Math. Phys., t. 54, 1977, p. 237. MR445556
  7. [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. 
  8. [7] T.Y. Li and J.A. Yorke, A. M. M., t. 82, 10, 1975, p. 985. Zbl0351.92021MR385028
  9. [8] B. Derrida, Y. Pomeaiu, in preparation. 
  10. [9] J. Milnor, W. Thurston, « The kneading matrix ». Preprint, IHES(1977). MR500978
  11. [10] B. Derrida, A. Gervois, Y. Pomeau, in preparation. 
  12. [11] R.L. Adler, A.G. Konheim and M.H. Mc Andrew, Trans. Amer. Math. Soc., t. 114, 1965, p. 309. Zbl0127.13102MR175106
  13. [12] P. Štefan, Private communication. 
  14. [13] A. Lasota, J.A. Yorke, Trans. Amer. Math. Soc., t. 18b, 1973, p. 481. Zbl0298.28015MR335758

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