Codage des automorphismes hyperboliques du tore et nombres de Pisot

Stéphane Le Borgne

Publications mathématiques et informatique de Rennes (1993)

  • Issue: 2, page 1-41

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Le Borgne, Stéphane. "Codage des automorphismes hyperboliques du tore et nombres de Pisot." Publications mathématiques et informatique de Rennes (1993): 1-41. <http://eudml.org/doc/274577>.

@article{LeBorgne1993,
author = {Le Borgne, Stéphane},
journal = {Publications mathématiques et informatique de Rennes},
language = {fre},
number = {2},
pages = {1-41},
publisher = {Département de Mathématiques et Informatique, Université de Rennes},
title = {Codage des automorphismes hyperboliques du tore et nombres de Pisot},
url = {http://eudml.org/doc/274577},
year = {1993},
}

TY - JOUR
AU - Le Borgne, Stéphane
TI - Codage des automorphismes hyperboliques du tore et nombres de Pisot
JO - Publications mathématiques et informatique de Rennes
PY - 1993
PB - Département de Mathématiques et Informatique, Université de Rennes
IS - 2
SP - 1
EP - 41
LA - fre
UR - http://eudml.org/doc/274577
ER -

References

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  2. [2] A. Bertrand-Mathis: Développement en base θ, répartition modulo 1 de la suite ( x θ n ) n 0 , langage codés et θ-shift, Bull. Soc. Math. France, 114, 1986, p. 271-323. Zbl0628.58024MR878240
  3. [3] A.M. Vershik: The fibadic expansions of real numbers and adic transformation, Prep. Report Inst, Mittag Leffler, no 4, 1-9 (1991-1992). 
  4. [4] A.M. Vershik: Arithmetic Isomorphism of Hyperbolic Toral Automorphisms and Sofic Shift, UDC519.56, 517.91. Zbl0810.58031
  5. [5] S. Ito, Y. Takahashi: Markov subshifts and realization of β-expansion, J. Math. Soc. Japan, vol. 26, no 1, 1974 Zbl0269.28006MR346134
  6. [6] Y. Takahashi: Isomorphisms of β-automorphisms to Markov automorphisms, Osaka J. Math., 10 (1973), 175-784. Zbl0268.28006MR340552
  7. [7] Y. Guivarc'h, J. Hardy: Théorèmes limites pour une classe de chaines de Markov et applications aux difféomorphismes d'Anosov, Ann. Inst. Henri Poincaré, Vol. 24, no 1, 1988, p. 73-98. Zbl0649.60041MR937957
  8. [8] R. Bowen: Equilibrium States and the Ergodic theory of Anosov Diffeomorphisms, Lect. Notes in Math., Springer Verlag470. Zbl0308.28010MR2423393
  9. [9] W. Krieger: On sofìc systems, Israel Journ. of Math., 1984. Zbl0573.54032
  10. [10] E. Cawley : Smooth Markov partitions and toral automorphisms, Ergod. Th. and Dynam. Sys. (1991), 11, p. 633-651. Zbl0754.58028MR1145614
  11. [11] R.M. Salem: Algebraic numbers and Fourier analysis, Boston, 1963. Zbl0126.07802
  12. [12] M. Denker, C. Grillenberger, K. Sigmund: , Ergodic theory on compact spaces, Lect. Notes in Math., Springer Verlag527. Zbl0328.28008MR457675

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