JournalsjemsVol. 21, No. 2pp. 507–548

Normality along squares

  • Michael Drmota

    Technische Universität Wien, Austria

  • Christian Mauduit

    Université d'Aix-Marseille, Marseille, France

  • Joël Rivat

    Université d'Aix-Marseille, France
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Abstract

The goal of this work is to show a first example of an almost periodic zero entropy sequence (in the sense of symbolic dynamical systems) whose subsequence along squares is a normal sequence. As an application, this provides a new method to produce normal numbers in a given base.

Cite this article

Michael Drmota, Christian Mauduit, Joël Rivat, Normality along squares. J. Eur. Math. Soc. 21 (2019), no. 2, pp. 507–548

DOI 10.4171/JEMS/843