Geodesic
On the maximal run-length function in the Lüroth expansion
Czechoslovak Mathematical Journal, Tome 68 (2018) no. 1, pp. 277-291

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We obtain a metrical property on the asymptotic behaviour of the maximal run-length function in the Lüroth expansion. We also determine the Hausdorff dimension of a class of exceptional sets of points whose maximal run-length function has sub-linear growth rate.
DOI : 10.21136/CMJ.2018.0474-16
Classification : 11K55, 28A80
Keywords: Lüroth expansion; run-length function; Hausdorff dimension 
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     title = {On the maximal run-length function in the {L\"uroth} expansion},
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Sun, Yu; Xu, Jian. On the maximal run-length function in the Lüroth expansion. Czechoslovak Mathematical Journal, Tome 68 (2018) no. 1, pp. 277-291. doi: 10.21136/CMJ.2018.0474-16

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