Mutual singularity of spectra of dynamical systems given by "sums of digits" to different bases
Système dynamique I - Varsovie, Astérisque, no. 49 (1977), pp. 109-114 
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     author = {Kamae, Teturo},
     title = {Mutual singularity of spectra of dynamical systems given by "sums of digits" to different bases},
     booktitle = {Syst\`eme dynamique I - Varsovie},
     series = {Ast\'erisque},
     pages = {109--114},
     year = {1977},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {49},
     mrnumber = {485754},
     zbl = {0371.28018},
     language = {en},
     url = {https://www.numdam.org/item/AST_1977__49__109_0/}
}
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Kamae, Teturo. Mutual singularity of spectra of dynamical systems given by "sums of digits" to different bases, dans Système dynamique I - Varsovie, Astérisque, no. 49 (1977), pp. 109-114. https://www.numdam.org/item/AST_1977__49__109_0/

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[2] J. Coquet, T. Kamae and M. Mendès-France, La mesure spectrale de certaines suites arithmétiques, Bull. Soc. Math. France (to appear) | MR | Zbl | EuDML | Numdam

[3] T. Kamae, Sum of digits to different bases and mutual singularity of their spectral measures, Osaka J. Math. (to appear) | MR | Zbl

[4] A. N. Kolmogorov, Stationary sequences in Hilbert space (Russien), Bull. Math. Univ. Moscow vol. 2 n° 6 (1941) | Zbl | MR