Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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CORRELATION DIMENSIONS OF CANTOR-LIKE SETS

  • Lee, Mi-Ryeong (Department of Mathematics Kyungpook National University) ;
  • Lee, Hung-Hwan (Department of Mathematics Kyungpook National University)
  • Published : 2003.04.01
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Abstract

In this paper, we calculate the lower and upper bound of the correlation dimension([4], [6]) for a Cantor-like set([5])

Keywords

References

  1. Mathematical Foundations and Applications Techniques in Fractal Geometry K.Falconer
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  5. On the dimension of deterministic and random Cantorlike sets, symbolic dynamics, and the Eckmann-Ruelle conjecture Y.Pesin;H.Weiss
  6. Erg. Th. & Dyn. Syst. v.17 Are the dimensions of a set and its images equal under typical smooth functions T.D.Sauer;J.A.Yorke https://doi.org/10.1017/S0143385797086252
  7. Introduction to Ergodic Theory P.Walters

Cited by

  1. THE CORRELATION DIMENSION OF GENERALIZED CANTOR-LIKE SETS vol.34, pp.2, 2012, https://doi.org/10.5831/HMJ.2012.34.2.219