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

作者：Liu, Weibin; Wang, Shuailing^*

来源：Fractals, 2021, 29(08): 2150258.

DOI：10.1142/S0218348X21502583

• Continued Fractions
• Hausdorff Dimension
• Mean Li-Yorke Chaotic

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.

• 单位
  广州航海高等专科学校