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Publications in Scientific Journals:

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



English 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.

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


"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.4171/JEMS/843


Created from the Publication Database of the Vienna University of Technology.