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Dimensions of a deranged Cantor set with specific contraction ratios
Dimensions of a deranged Cantor set with specific contractionratios
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Abstract
We investigate a deranged Cantor set(a generalized Cantor set) using the similar method to find the dimensions of cookie-cutter repeller. That is, we will use a Gibbs measure which is a weak limit of a subsequence of discrete Borel measures to find the dimensions. The deranged Cantor set that will be considered is a generalized form of a perturbed Cantor set(a variation of the symmetric Cantor set) and a cookie-cutter repeller.
참고문헌 (4)
- "Dimensions of the perturbed Cantor set", 94, pp.19(1) (1993), 269~
- "Dimensions of weakly convergentderanged Cantor set", 88, pp.23(2) (1997), 689~
- "Techniques in fractal geometry" (1997), John Wiley and Sons
- "Techniques in fractal geometry" (1997), John Wiley and Sons
관련 논문AI추천
Dimension for a Cantor-like set with overlapsHung Hwan Lee, Jungju Park, Mi Ryeong Lee대한수학회 · 대한수학회논문집2004 · 제19권 제4호Hausdorff dimension of deranged Cantor set without some boundedness conditionIn-Soo Baek대한수학회 · 대한수학회논문집2004 · 제19권 제1호Dimension of deformed self-similar setsHyun Deok Lee, Jungju Park, Taehee Kim대한수학회 · 대한수학회논문집2004 · 제19권 제3호Correlation dimensions of Cantor-like setsHung Hwan Lee, Mi Ryeong Lee대한수학회 · 대한수학회논문집2003 · 제18권 제2호Multifractal Analysis of Perturbed Cantor SetsHung Hwan Lee, Hun Ki Baek경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2005 · 제45권 제4호Topological Magnitude of a Special Subset in a Self-similar Cantor Set백인수한국수학교육학회 · 이론수학과 교직수학2007 · 제14권 제1호
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