Codage des automorphismes hyperboliques du tore et nombres de Pisot
Publications mathématiques et informatique de Rennes (1993)
- Issue: 2, page 1-41
Access Full Article
topHow to cite
topReferences
top- [1] W. Parry: On the β-expansion of real numbers, Acto. Math. Sci.Hungar, vol. 11, 1960, p. 401-416. Zbl0099.28103MR142719
- [2] A. Bertrand-Mathis: Développement en base θ, répartition modulo 1 de la suite , langage codés et θ-shift, Bull. Soc. Math. France, 114, 1986, p. 271-323. Zbl0628.58024MR878240
- [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] A.M. Vershik: Arithmetic Isomorphism of Hyperbolic Toral Automorphisms and Sofic Shift, UDC519.56, 517.91. Zbl0810.58031
- [5] S. Ito, Y. Takahashi: Markov subshifts and realization of β-expansion, J. Math. Soc. Japan, vol. 26, no 1, 1974 Zbl0269.28006MR346134
- [6] Y. Takahashi: Isomorphisms of β-automorphisms to Markov automorphisms, Osaka J. Math., 10 (1973), 175-784. Zbl0268.28006MR340552
- [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] R. Bowen: Equilibrium States and the Ergodic theory of Anosov Diffeomorphisms, Lect. Notes in Math., Springer Verlag470. Zbl0308.28010MR2423393
- [9] W. Krieger: On sofìc systems, Israel Journ. of Math., 1984. Zbl0573.54032
- [10] E. Cawley : Smooth Markov partitions and toral automorphisms, Ergod. Th. and Dynam. Sys. (1991), 11, p. 633-651. Zbl0754.58028MR1145614
- [11] R.M. Salem: Algebraic numbers and Fourier analysis, Boston, 1963. Zbl0126.07802
- [12] M. Denker, C. Grillenberger, K. Sigmund: , Ergodic theory on compact spaces, Lect. Notes in Math., Springer Verlag527. Zbl0328.28008MR457675