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• W2016990342 abstract "In the present paper we want to focus on the dichotomy of the non-normal numbers -- on the one hand they are a set of measure zero and on the other hand they are residual -- for dynamical system fulfilling the specification property. These dynamical systems are motivated by $beta$-expansions. We consider the limiting frequencies of digits in the words of the languagse arising from these dynamical systems, and show that not only a typical $x$ in the sense of Baire is non-normal, but also its Cesàro variants diverge." @default.
• W2016990342 created "2016-06-24" @default.
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• W2016990342 date "2014-05-01" @default.
• W2016990342 modified "2023-10-14" @default.
• W2016990342 title "Non-normal numbers in dynamical systems fulfilling the specification property" @default.
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• W2016990342 doi "https://doi.org/10.3934/dcds.2014.34.4751" @default.
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