Hausdorff dimension of the recurrence set of Gauss transformation (Q431166)

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scientific article; zbMATH DE number 6050532
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Hausdorff dimension of the recurrence set of Gauss transformation
scientific article; zbMATH DE number 6050532

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    Hausdorff dimension of the recurrence set of Gauss transformation (English)
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    26 June 2012
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    \(H\) is considered the continued fraction expansion of an irrational number \(x_0\in [0,1)\) given by the Gauss transformation \(T\). The authors provide the Hausdorff dimension of the recurrence set of the Gauss transformation \(T\), advancing previous work of \textit{J. L. Fernández}, \textit{M. V. Melián} and \textit{D. Pestana} [Math. Ann. 337, No. 1, 233--251 (2007; Zbl 1125.30019)].
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    Gauss transformation
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    Hausdorff dimension
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