논문KCI 등재
Cantor dimension and its application
2
조회
0
다운로드
0
인용
0
참고문헌
주제분류수학
초록
Abstract
We defined Cantor dimensions of a perturbed Cantor set, andinvestigated a relation between these dimensions and Hausdorffand packing dimensions of a perturbed Cantor set. In this paper,we introduce another expressions of the Cantor dimensions. Usingthese, we study some informations which can be derived from powerequations induced from contraction ratios of a perturbed Cantorset to give its Hausdorff or packing dimension. This applicationto a deranged Cantor set gives us an estimation of its Hausdorffand packing dimensions, which is a generalization of the Cantordimension theorem.
참고문헌 (6)
- "Dimensions of the perturbed Cantor set", 19(1), pp.269~ (1993)
- "Dimensions of weakly convergent deranged Cantor sets", 1998, pp.23(2) (1997), 689~695
- "Weak local dimension on deranged Cantor set", 26, pp.553~558 (2000)
- "Hausdorff dimension of perturbed Cantor sets without some boundedness condition", 99(4) (2003)
- "Techniques in fractal geometry" (1997), John Wiley and Sons.
- "Two definitions of fractional dimension", 91, pp.57~ (1982)
관련 논문AI추천
Dimension for a Cantor-like set with overlapsHung Hwan Lee, Jungju Park, Mi Ryeong Lee대한수학회 · 대한수학회논문집2004 · 제19권 제4호Correlation dimensions of Cantor-like setsHung Hwan Lee, Mi Ryeong Lee대한수학회 · 대한수학회논문집2003 · 제18권 제2호Relation between fractal measures and Cantor measures백인수대한수학회 · 대한수학회논문집2007 · 제22권 제2호Dimensions of a deranged Cantor set with specific contraction ratios백인수대한수학회 · 대한수학회보2004 · 제41권 제2호Dimension of deformed self-similar setsHyun Deok Lee, Jungju Park, Taehee Kim대한수학회 · 대한수학회논문집2004 · 제19권 제3호Dimensions of distribution sets in the unit interval백인수대한수학회 · 대한수학회논문집2007 · 제22권 제4호
이 간행물의 다른 논문 (17건)
Three Step Iterative Algorithms for Generalized Quasivariational Inclusions정재욱, 박종열pp. 1-11Correction to our paper:Projective systems supported on the complement of two linear subspaces김선정, 유미자, Masaaki Hommapp. 19-25Analytic Properties of the Limits of the Even and Odd Hyperpower Sequences조윤희, 김영원pp. 27-43Analytic Properties of the Limits of the Even and Odd Hyperpower Sequences김영원, 조윤희pp. 27-43The $m$-th root Finsler metrics admitting $(\alpha,\beta)$-types박하용, 김병두pp. 45-52