Chaotic sets and Hausdorff dimension for Lüroth expansions
arXiv:2112.04714 · doi:10.1016/j.jmaa.2022.126324
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.
27 pages