대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제18권2호
  • /
  • Pages.281-288
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  • 2003
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  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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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)
  • 발행 : 2003.04.01
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초록

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

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참고문헌

  1. Mathematical Foundations and Applications Techniques in Fractal Geometry K.Falconer
  2. Hiroshima Math. J. v.25 On loosely self-similar sets S.Ikeda
  3. Geometry of Sets and Measures in Euclidean spaces Pertti Mattila
  4. J. Statist. Phys. v.71 On rigorous definitions of correlation dimension and generalized spectrum for dimensions Y.Pesin https://doi.org/10.1007/BF01058436
  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

피인용 문헌

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