The Thue-Morse sequence along squares is normal
Michael Drmota, Christian Mauduit, Joël Rivat · HAL (Le Centre pour la Communication Scientifique Directe) · 2016
The Thue-Morse sequence is a classical example of an almost periodic (or uniformly recurrent) sequence in the sense that its associated symbolic dynamical system is minimal. We prove that the subsequence along squares of the Thue-Morse sequence is normal. 1.