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arXiv · 2112.04714

Chaotic sets and Hausdorff dimension for Lüroth expansions

Rafael Alcaraz Barrera·Gerardo González Robert
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Abstract

We provide new similarities between regular continued fractions and Lüroth series in terms of topological dynamics and Hausdorff dimension. In particular, we establish a complete analogue for the Lüroth transformation of results by W. Liu, B. Li and W. Liu, S. Wang on the distal, asymptotic and Li-Yorke pairs for the Gauss map.

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Rafael Alcaraz Barrera, Gerardo González Robert. 2022-05-11. Chaotic sets and Hausdorff dimension for Lüroth expansions. https://doi.org/10.1016/j.jmaa.2022.126324

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