Spectral properties of G-symbolic Morse shifts
Bulletin de la Société Mathématique de France, Tome 115 (1987), pp. 19-33 
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     author = {Kwiatkowski, Jan and Sikorski, Andrzej},
     title = {Spectral properties of {G-symbolic} {Morse} shifts},
     journal = {Bulletin de la Soci\'et\'e Math\'ematique de France},
     pages = {19--33},
     year = {1987},
     publisher = {Soci\'et\'e math\'ematique de France},
     volume = {115},
     doi = {10.24033/bsmf.2067},
     mrnumber = {88i:28032},
     zbl = {0624.28014},
     language = {en},
     url = {https://www.numdam.org/articles/10.24033/bsmf.2067/}
}
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Kwiatkowski, Jan; Sikorski, Andrzej. Spectral properties of G-symbolic Morse shifts. Bulletin de la Société Mathématique de France, Tome 115 (1987), pp. 19-33. doi: 10.24033/bsmf.2067

[1] Baxter (J. R.). - A class of ergodic transformations having simple spectra, P.A.M.S., Vol. 27, 1971, pp. 275-279. | Zbl | MR

[2] Coquet (J.), Kamae (T.) et Mendes-France (M.). - Sur la mesure spectrale de certaines suites arithmétiques, Bull. Soc. Math. France, Vol. 105, 1977, pp. 369-384. | Zbl | MR | Numdam

[3] Del Junco (A.). - A transformation with simple spectrum which is not rank one, Can. J. Math., Vol. 29, No. 3, 1977, pp. 653-663. | Zbl | MR

[4] Goodson (G. R.). - On the spectral multiplicity of a class of finite rank transformation, preprint, 1984.

[5] Kakutani (S.). - Strictly ergodic symbolic dynamical systems, Proc. 6th Berkeley Symp., Vol. 2, pp. 319-326. | Zbl | MR

[6] Keane (M.). - Generalized Morse sequences, Z. Wahr. verw. Geb., Vol. 10, 1968, pp. 335-353. | Zbl | MR

[7] Keane (M.). - Strongly mixing g-measures, Inventiones Math., Vol. 16, No. 4, 1972, pp. 309-324. | Zbl | MR

[8] Kwiatkowski (J.). - Spectral isomorphism of Morse dynamical systems, Bull. Acad. Pol. Sc., serie sc. math., Vol. XXIX, No. 3-4, 1981, pp. 105-114. | Zbl | MR

[9] Kwiatkowski (J.). - Isomorphism of regular Morse dynamical systems induced by arbitrary blocks, Studia Math., Vol. 84, No. 3 (to appear). | Zbl | MR

[10] Lemanczyk (M.). - The centralizer of Morse shifts.

[11] Martin (J. C.). - Generalized Morse sequences on n-symbols, P.A.M.S., Vol. 54, 1976, pp. 379-383. | Zbl | MR

[12] Martin (J. C.). - The structure of generalized Morse minimal sets on n-symbols, P.A.M.S., Vol. 2, 1977, pp. 343-355. | Zbl | MR

[13] Queffelec (M.). - Mesures spectrales associées à certaines suites arithmétiques, Bull. Soc. Math. France, Vol. 107, 1979, pp. 385-421. | Zbl | MR | Numdam

[14] Queffelec (M.). - Contribution à l'étude spectrale de suites arithmétiques, Thèse, 1984.

[15] Parry (W.). - Topics in ergodic theory, Cambridge, University Press, 1981. | Zbl | MR

[16] Robinson (E. R.). - Ergodic measure preserving transformations with arbitrary finite spectral multiplicity, Preprint, University of Maryland, 1982.

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