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- W2559709758 abstract "For any real number $beta>1$. The $n$th cylinder of $beta$ in the parameter space ${betain mathbb{R}: beta>1}$ is a set of real numbers in $(1,infty)$ having the same first $n$ digits in their $beta$-expansion of $1$, denote by $I^P_n(beta)$. We study the quantities which describe the growth of the length of $I^P_n(beta)$. The Huasdorff dimension of the set of given growth rate of the length of $I^P_n(beta)$ will be determined in this paper." @default.
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- W2559709758 date "2016-11-30" @default.
- W2559709758 modified "2023-09-27" @default.
- W2559709758 title "The dimension of irregular set in parameter space" @default.
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- W2559709758 doi "https://doi.org/10.48550/arxiv.1611.10111" @default.
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