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Lobachevskii Journal of Mathematics, 2002, Volume 11, Pages 22–25
(Mi ljm117)
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Small Digitwise perturbations of a number make it normal to unrelated bases
L. N. Pushkin Kazan State University
Abstract:
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.
Citation:
L. N. Pushkin, “Small Digitwise perturbations of a number make it normal to unrelated bases”, Lobachevskii J. Math., 11 (2002), 22–25
Linking options:
https://www.mathnet.ru/eng/ljm117 https://www.mathnet.ru/eng/ljm/v11/p22
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Abstract page: | 199 | Full-text PDF : | 79 | References: | 26 |
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