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Keywords:
Lüroth expansion; run-length function; Hausdorff dimension
Lüroth expansion; run-length function; Hausdorff dimension
Summary:
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.
References:
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