no. 4
Substitution dynamical systems : algebraic characterization of eigenvalues
Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 29 (1996) no. 4, pp. 519-533 
@article{ASENS_1996_4_29_4_519_0,
     author = {Ferenczi, S\'ebastien and Mauduit, Christian and Nogueira, Arnaldo},
     title = {Substitution dynamical systems : algebraic characterization of eigenvalues},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     pages = {519--533},
     year = {1996},
     publisher = {Elsevier},
     volume = {Ser. 4, 29},
     number = {4},
     doi = {10.24033/asens.1746},
     mrnumber = {97b:58085},
     zbl = {0866.11023},
     language = {en},
     url = {https://www.numdam.org/articles/10.24033/asens.1746/}
}
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Ferenczi, Sébastien; Mauduit, Christian; Nogueira, Arnaldo. Substitution dynamical systems : algebraic characterization of eigenvalues. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 29 (1996) no. 4, pp. 519-533. doi: 10.24033/asens.1746

[DEK] M. Dekking, The spectrum of dynamical systems arising from substitutions of constant length (Zeit. Wahrsch. verw. Geb., Vol. 41, 1978, pp. 221-239). | Zbl | MR

[HOS] B. Host, Valeurs propres des systèmes dynamiques définis par des substitutions de longueur variable (Ergodic Th. Dyn. Syst., Vol. 6, 1986, pp. 529-540). | Zbl | MR

[KEA] M. S. Keane, Interval exchange transformations (Math. Zeitsch., Vol. 141, 1975, pp. 25-31). | Zbl | MR

[LIV] A. N. Livshits, A sufficient condition for weak mixing of substitutions and stationary adic transformations (Mat. Zametki, Vol. 44, 1988, pp. 785-793, translated in Math. Notes 44, 1988, pp. 920-925). | Zbl | MR

[LIV-VER] A. N. Livshits and A. M. Vershik, Adic models of ergodic transformations, spectral theory, substitutions, and related topics (Adv. Sov. Mat., Vol. 9, 1992, pp. 185-204). | Zbl | MR

[MAU] C. Mauduit, Caractérisation des ensembles normaux substitutifs (Inventiones Math., Vol. 95, 1989, pp. 133-147). | Zbl | MR

[MOS] B. Mosse, Notions de reconnaissabilité pour les substitutions et complexité des suites automatiques (submitted).

[NOG-RUD] A. Nogueira and D. J. Rudolph, Topological weak mixing of interval exchange maps (preprint, Maryland University, 1991).

[PIS] C. Pisot, La répartition modulo 1 et les nombres algébriques (Ann. Sc. Norm. Super. Pisa Cl. Sci., IV Ser., 1938, pp. 205-248). | Zbl | JFM | Numdam

[QUE] M. Queffelec, Substitution dynamical systems - Spectral analysis (Lecture Notes in Math., Vol. 1294, 1987, Springer-Verlag). | Zbl | MR

[SAL] R. Salem, Algebraic numbers and Fourier analysis (Heath Mathematical Monographs, 1963, Heath and Co). | Zbl | MR

[SOL1] B. Solomyak, Substitutions, adic transformations, and beta-expansions (Contemporary Mat., Vol. 135, 1992, pp. 361-372). | Zbl | MR

[SOL2] B. Solomyak, On simultaneous action of Markov shift and adic transformation (Adv. Sov. Mat., Vol. 9, 1992, pp. 231-239). | Zbl | MR

[SOL3] B. Solomyak, On the spectral theory of adic transformations (Adv. Sov. Mat., Vol. 9, 1992, pp. 217-230). | Zbl | MR

[VEE] W. Veech, Gauss measures for transformations on spaces of interval exchange maps (Annals of Math., Vol. 115, 1982, pp. 201-242). | Zbl | MR

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