MEAN LI-YORKE CHAOTIC SET WITH FULL HAUSDORFF DIMENSION FOR CONTINUED FRACTIONS

摘要

In this paper, we consider the mean Li-Yorke chaotic property for continued fraction dynamical system. Every measurable mean Li-Yorke scrambled set along any given sequence is of zero Lebesgue measure. Meanwhile, we construct one with full Hausdorff dimension for the sequence with some mild condition.

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