@article{BSMF_1980__108__401_0, author = {Christol, G. and Kamae, T. and Mend\`es France, Michel and Rauzy, G\'erard}, title = {Suites alg\'ebriques, automates et substitutions}, journal = {Bulletin de la Soci\'et\'e Math\'ematique de France}, pages = {401--419}, publisher = {Soci\'et\'e math\'ematique de France}, volume = {108}, year = {1980}, doi = {10.24033/bsmf.1926}, mrnumber = {82e:10092}, zbl = {0472.10035}, language = {fr}, url = {http://www.numdam.org/articles/10.24033/bsmf.1926/} }
TY - JOUR AU - Christol, G. AU - Kamae, T. AU - Mendès France, Michel AU - Rauzy, Gérard TI - Suites algébriques, automates et substitutions JO - Bulletin de la Société Mathématique de France PY - 1980 SP - 401 EP - 419 VL - 108 PB - Société mathématique de France UR - http://www.numdam.org/articles/10.24033/bsmf.1926/ DO - 10.24033/bsmf.1926 LA - fr ID - BSMF_1980__108__401_0 ER -
%0 Journal Article %A Christol, G. %A Kamae, T. %A Mendès France, Michel %A Rauzy, Gérard %T Suites algébriques, automates et substitutions %J Bulletin de la Société Mathématique de France %D 1980 %P 401-419 %V 108 %I Société mathématique de France %U http://www.numdam.org/articles/10.24033/bsmf.1926/ %R 10.24033/bsmf.1926 %G fr %F BSMF_1980__108__401_0
Christol, G.; Kamae, T.; Mendès France, Michel; Rauzy, Gérard. Suites algébriques, automates et substitutions. Bulletin de la Société Mathématique de France, Volume 108 (1980), pp. 401-419. doi : 10.24033/bsmf.1926. http://www.numdam.org/articles/10.24033/bsmf.1926/
[1] Continued fractions of algebraic power series in characteristic 2, Ann. Math., t. 103, 1976, p. 593-610. | MR | Zbl
et . -[2] Fields of almost periodic sequences, J. Combinat. Theory (A), t. 22, 1977, p. 169-180. | MR | Zbl
, , et . -[3] Note on the Shapiro polynomials. Proc. Am. Math. Soc., t. 25, 1970, p. 114-118. | MR | Zbl
et . -[4] Ensembles presque périodiques k-reconnaissables, Theoretical Computer Science, t. 9, 1979, p. 141-145. | MR | Zbl
. -[5] On the base-dependence of sets of numbers recognizable by finite automata, Mathem. Syst. Theory, t. 3, 1969, p. 186-192. | MR | Zbl
. -[6] Uniform tag sequences, Mathem. Syst. Theory, t. 6, 1972, p. 164-192. | MR | Zbl
. -[7] Regular algebra and Finite machines, Chapman and Hall, 1971. | Zbl
. -[8] Sur la mesure spectrale de certaines suites arithmétiques, Bull. Soc. Math. France, t. 105, 1977, p. 369-384. | Numdam | MR | Zbl
, et . -[9] Transcendance du nombre de Thue-Morse, C. R. Acad. Sc., Paris, t. 285, 1977, série A, p. 157-160. | MR | Zbl
. -[10] Automata, Languages and Machines, vol. A, 1974, Academic Press. | MR | Zbl
. -[11] Sur divers produits de séries formelles, Bull. Soc. Math. France, t. 102, 1974, p. 181-191. | Numdam | MR | Zbl
. -[12] Algebraic functions over finite fields, J. Algebra, t. 7, 1967, p. 271-277. | MR | Zbl
. -[13] Topological dynamics, Amer. Math. Soc. Colloquium Publications, t. 36, 1955. | MR | Zbl
et . -[14] Remarks on the work of Axel Thue on sequences, Nordisk Mat. Tidskr., t. 15, 1967, p. 148-150. | MR | Zbl
. -[15] Ergodic theory of shift transformations, Proceedings of the 5th Berkeley symposium on mathematical statistics and probability [1965, Berkeley], p. 405-414, Berkeley, University of California Press. | MR | Zbl
. -[16] Strictly ergodic symbolic dynamical systems, Proceedings of the 6th Berkeley symposium on mathematical statistics and probability [1970, Berkeley], vol. 2, p. 319-326, Berkeley, University of California Press. | MR | Zbl
. -[17] Spectrum of a substitution minimal set, J. Math. Soc. Japan, t. 22, 1970, p. 567-578. | MR | Zbl
. -[18] A topological invariant of substitution minimal sets, J. Math. Soc. Japan, t. 24, 1972, p. 285-306. | MR | Zbl
. -[19] Subsequences of normal sequences, Israel J. of Math., t. 16, 1973, p. 121-149. | MR | Zbl
. -[20] Generalized Morse sequences, Z. Wahrscheinlichkeitstheorie, t. 10, 1968, p. 335-353. | MR | Zbl
. -[21] An application of Kronecker's theorem to transcendence theory, Séminaire Théorie des Nombres, Bordeaux, 1975-1976, exposé 25. | Zbl
. -[22] Algebraic numbers, 1964, Addison-Werley. | MR | Zbl
. -[23] On the translation properties of a simple class of arithmetical functions, J. Math. and Phys., t. 6, 1927, p. 158-163. | JFM
. -[24] Generalized Morse sequences on n symbols, Proc. Am. Math. Soc., t. 54, 1976, p. 379-383. | MR | Zbl
. -[25] The structure of generalized Morse minimal sets on n symbols, Trans. Am. Math. Soc., t. 232, 1977, p. 343-355. | MR | Zbl
. -[26] Recurrent geodesics on a surface of negative curvature, Trans. Am. Math. Soc., t. 22, 1921, p. 84-100. | JFM | MR
. -[27] Mesures spectrales associées à certaines suites arithmétiques, Bull. Soc. Math. France, t. 107, 1979, p. 385-421. | Numdam | MR | Zbl
. -[28] Nombres normaux et processus déterministes, Acta Arith., t. 29, 1976, p. 211-225. | MR | Zbl
. -[29] Propriétés statistiques de suites arithmétiques, Collection SUP, Le Mathématicien, t. 15, 1976, Presses Univ. de France. | MR | Zbl
. -[30] Une généralisation du développement en fraction continue, Séminaire Théorie des Nombres, Delange-Pisot-Poitou, 1976, Paris. | Numdam | Zbl
. -[31] Some theorems on Fourier coefficients, Proc. Am. Math. Soc., t. 10, 1959, p. 855-859. | MR | Zbl
. -[32] Extremal problems for polynomials and power series, Thesis MIT, 1951.
. -[33] Über die gegenseitige lage gleicher Teile gewisser Zeichenreichen Videnskabsselskabets Skrifter I Mat. nat. Kl., Christiania, 1906.
. -[34] Propriétés arithmétiques et algébriques de fonctions satisfaisant une classe d'équations fonctionnelles, Séminaire Théorie des Nombres, Bordeaux, 1974-1975, exposé 7. | Zbl
. -[35] Generalized Harmonic Analysis, Acta Mathem., t. 55, 1930, p. 117-258 (en particulier p. 204-209). | JFM
. -Cited by Sources: