Geodesic
Small Digitwise perturbations of a number make it normal to unrelated bases
Lobachevskii journal of mathematics, Tome 11 (2002), pp. 22-25 
L. N. Pushkin. Small Digitwise perturbations of a number make it normal to unrelated bases. Lobachevskii journal of mathematics, Tome 11 (2002), pp. 22-25. http://geodesic.mathdoc.fr/item/LJM_2002_11_a4/
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     author = {L. N. Pushkin},
     title = {Small {Digitwise} perturbations of a~number make it normal to unrelated bases},
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     url = {http://geodesic.mathdoc.fr/item/LJM_2002_11_a4/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

Let $r,g\ge 2$ be integers such that $\log g/\log r$ is irrational. We show that under $r$-digitwise random perturbations of an expanded to base $r$ real number $x$, which are small enough to preserve $r$-digit asymptotic frequency spectrum of $x$, the $g$-adic digits of $x$ tend to have the most chaotic behaviour.

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