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On normal numbers and self-similar measures

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 نشر من قبل Simon Baker
 تاريخ النشر 2021
  مجال البحث
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 تأليف Simon Baker




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In this paper we prove that if ${varphi_i(x)=lambda x+t_i}$ is an equicontractive iterated function system and $b$ is a positive integer satisfying $frac{log b}{log |lambda|} otinmathbb{Q},$ then almost every $x$ is normal in base $b$ for any non-atomic self-similar measure of ${varphi_i}$.



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