Calcul de la dynamique de transformations linéaires contractantes mod 1 et arbre de Farey
Yann Bugeaud; Jean-Pierre Conze
Acta Arithmetica (1999)
- Volume: 88, Issue: 3, page 201-218
- ISSN: 0065-1036
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topYann Bugeaud, and Jean-Pierre Conze. "Calcul de la dynamique de transformations linéaires contractantes mod 1 et arbre de Farey." Acta Arithmetica 88.3 (1999): 201-218. <http://eudml.org/doc/207241>.
@article{YannBugeaud1999,
author = {Yann Bugeaud, Jean-Pierre Conze},
journal = {Acta Arithmetica},
keywords = {contracting linear transformations of the interval; Farey tree; induction; continued-fraction algorithm; Sturmian sequences},
language = {fre},
number = {3},
pages = {201-218},
title = {Calcul de la dynamique de transformations linéaires contractantes mod 1 et arbre de Farey},
url = {http://eudml.org/doc/207241},
volume = {88},
year = {1999},
}
TY - JOUR
AU - Yann Bugeaud
AU - Jean-Pierre Conze
TI - Calcul de la dynamique de transformations linéaires contractantes mod 1 et arbre de Farey
JO - Acta Arithmetica
PY - 1999
VL - 88
IS - 3
SP - 201
EP - 218
LA - fre
KW - contracting linear transformations of the interval; Farey tree; induction; continued-fraction algorithm; Sturmian sequences
UR - http://eudml.org/doc/207241
ER -
References
top- [1] V. I. Arnold, Chapitres supplémentaires de la théorie des équations différentielles ordinaires, Mir, Moscou, 1980. Zbl0455.34001
- [2] Y. Bugeaud, Dynamique de certaines applications contractantes linéaires par morceaux sur [0,1[, C. R. Acad. Sci. Paris Sér. I 317 (1993), 575-578.
- [3] O. Feely and L. O. Chua, The effect of integrator leak in Σ - Δ modulation, IEEE Trans. Circuits Systems 38 (1991), 1293-1305. Zbl0739.94005
- [4] G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers, Clarendon Press, 1979. Zbl0423.10001
- [5] W. de Melo and S. van Strien, One-Dimensional Dynamics, Ergeb. Math. Grenzgeb. (3) 25, Springer, 1993.
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