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Dimension for a Cantor-like set with overlaps

Mi Ryeong Lee|Jungju Park|Hung Hwan Lee
대한수학회 (The Korean Mathematical Society)|2004.10|대한수학회논문집 (Communications of the KMS)|제19권 제4호|pp. 683-689

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Abstract

In this paper we de¯ne a Cantor-like set K with over- laps in R1. We ¯nd the correlation dimension of the set K without two conditions: the control of placements of basic sets constructing K and the thickness of K being greater than 1.

참고문헌 (8)

  1. "Correlation dimension for iterated functionsystems", 349, pp.1783~1796 (1997)
  2. "Techniques in Fractal Geometry, Mathematical Foundations and Ap-plications" (1997)
  3. "Correlation dimensions of Cantor sets with overlaps", 15, pp.293~300 (2000)
  4. "Existence ofLq dimensions and entropy dimension forself-conformal measures", 49(4), pp.1603~1621 (2000)
  5. "Are the dimensions of a set and its images equalunder typical smooth functions ?", 17, pp.941~956 (1997)
  6. "Exceptional set and multifractal analysis", 37, pp.121~125 (1998)
  7. "Multifractals and the dimension of exceptions", 02, pp.27(1) (2001), 191~207
  8. "Correlation dimension for self-similar Cantor setswith overlaps", 155(3), pp.293~300 (1998)

관련 논문AI추천

Correlation dimensions of Cantor-like setsHung Hwan Lee, Mi Ryeong Lee대한수학회 · 대한수학회논문집2003 · 제18권 제2호Dimension of deformed self-similar setsHyun Deok Lee, Jungju Park, Taehee Kim대한수학회 · 대한수학회논문집2004 · 제19권 제3호Dimensions of a deranged Cantor set with specific contraction ratios백인수대한수학회 · 대한수학회보2004 · 제41권 제2호Multifractal Analysis of Perturbed Cantor SetsHung Hwan Lee, Hun Ki Baek경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2005 · 제45권 제4호Cantor dimension and its application백인수대한수학회 · 대한수학회보2004 · 제41권 제1호Dimensions of distribution sets in the unit interval백인수대한수학회 · 대한수학회논문집2007 · 제22권 제4호

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