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

Kamae, Teturo. Mutual singularity of spectra of dynamical systems given by "sums of digits" to different bases, in Système dynamique I - Varsovie, Astérisque, no. 49 (1977), pp. 109-114. http://www.numdam.org/item/AST_1977__49__109_0/`

[1] J. Besineau, Indépendance statistique d'ensemble lié à la fonction "somme des chiffres", Acta Arithmetica XX (1972) | MR 304335 | Zbl 0252.10052

[2] J. Coquet, T. Kamae and M. Mendès-France, La mesure spectrale de certaines suites arithmétiques, Bull. Soc. Math. France (to appear) | MR 472749 | Zbl 0383.10035

[3] T. Kamae, Sum of digits to different bases and mutual singularity of their spectral measures, Osaka J. Math. (to appear) | MR 510496 | Zbl 0391.10034

[4] A. N. Kolmogorov, Stationary sequences in Hilbert space (Russien), Bull. Math. Univ. Moscow vol. 2 n° 6 (1941) | MR 9098 | Zbl 0063.03291