논문KCI 등재
Scaling Law of the Hausdorff Measure
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We exhibit an example that the scaling property of Hausdorff measure on R1 does not hold.
Abstract
We exhibit an example that the scaling property of Hausdorff measure on R1 does not hold.
참고문헌 (4)
- N. Castro, "Hausdorff measures and dimension on R1", Proceed. of Amer. Math. Soc, 125, pp.3267~3273 (1997)
- M. Cs¨ornyei, "Scaling properties of Hausdorff and packing measures", Math. Ann, 319, pp.817~836 (2001)
- K. Falconer, "Fractal Geometry:Mathematical Foundations and Applications" (1990), John Wiley and Sons
- R. D. Mauldin, "Scaling Hausdorff measures", Mathematika, 36, pp.325~333 (1989)
관련 논문AI추천
Regularities of Fractal Measures on R^{2}Hung Hwan Lee, Hun Ki Baek경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2004 · 제44권 제4호On the Average Box Dimensions of Typical Compact Metric Spaces올슨경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2024 · 제64권 제4호ON CANTOR SETS AND PACKING MEASURESChun Wei, Sheng-You Wen대한수학회 · 대한수학회보2015 · 제52권 제5호THE PARAMETER DISTRIBUTION SET FOR A SELF-SIMILAR MEASURE백인수대한수학회 · 대한수학회보2012 · 제49권 제5호Dimension for a Cantor-like set with overlapsHung Hwan Lee, Jungju Park, Mi Ryeong Lee대한수학회 · 대한수학회논문집2004 · 제19권 제4호Relative multifractal spectrumNajmeddine Attia대한수학회 · 대한수학회논문집2018 · 제33권 제2호
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