Journal of Jianghan University(Natural Science Edition) ›› 2018, Vol. 46 ›› Issue (4): 310-313.doi: 10.16389/j.cnki.cn42-1737/n.2018.04.004

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A Note on Dense Orbit of Point Under Different Properties

WANG Wenya，WEI Hewen   

  1. School of Mathematics and Computer Science，Jianghan University，Wuhan 430056，Hubei，China
  • Online:2018-08-28 Published:2018-08-31

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Abstract: The author constructs a Cantor set in which the points are dense with respect to the b-adic expansion and the fractional expansion. More precisely，the author proves the existence of the nonnormal number set which makes the following dimension formula：□□□

Key words: Hausdorff dimension, b-adic expansion, fractional expansion, dense

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