M. Drmota, C. Mauduit, J. Rivat:
"Normality among Squares";
Journal of the European Mathematical Society, 21 (2019), 2; S. 507 - 548.

Kurzfassung englisch:
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.

Normal sequences, Thue-Morse sequence, exponential sums, correlation

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