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Relation between fractal measures and Cantor measures

백인수
대한수학회 (The Korean Mathematical Society)|2007.04|대한수학회논문집 (Communications of the KMS)|제22권 제2호|pp. 241-246

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주제분류수학

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Abstract

and lower(packing) Cantor measure on a deranged Cantor set. If theinfimum of some distortion of contraction ratios is positive, thenHausdorff(packing) measure and lower(packing) Cantor measure of aderanged Cantor set are equivalent except for some singular behaviorfor packing measure case. It is a generalization of already knownresult on the perturbed Cantor set.

참고문헌 (6)

  1. "Dimensions of the perturbed Cantor set", pp.269~ (1994)
  2. "Hausdorff dimensionof perturbed Cantor sets without some boundedness condition", 99(4), pp.279~283 (2003)
  3. "Cantor dimension and its application", 41(1), pp.13~18 (2004)
  4. "Dimensions of a deranged Cantor set with specific contraction ratios", 41(2), pp.269~274 (2004)
  5. "Techniques in fractal geometry" (1997), John Wiley and Sons
  6. "Hausdorff and packing measure on a perturbed Cantor set", 27(1), pp.177~190 (2002)

관련 논문AI추천

Correlation dimensions of Cantor-like setsHung Hwan Lee, Mi Ryeong Lee대한수학회 · 대한수학회논문집2003 · 제18권 제2호Regularities of Fractal Measures on R^{2}Hung Hwan Lee, Hun Ki Baek경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2004 · 제44권 제4호Multifractal Analysis of Perturbed Cantor SetsHung Hwan Lee, Hun Ki Baek경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2005 · 제45권 제4호Dimension for a Cantor-like set with overlapsHung Hwan Lee, Jungju Park, Mi Ryeong Lee대한수학회 · 대한수학회논문집2004 · 제19권 제4호On a Quasi-Self-Similar Measure on a Self-Similar Set on the Way to a Perturbed Cantor Set백인수한국수학교육학회 · 이론수학과 교직수학2004 · 제11권 제1호Cantor dimension and its application백인수대한수학회 · 대한수학회보2004 · 제41권 제1호

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