논문KCI 등재
Regularities of Fractal Measures on R^{2}
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Abstract
We get a characterization of strong regularity with d-measure on.
참고문헌 (13)
- "Regularity of d-measure", 99(1-2), pp.25~32 (2003)
- A. S. Besicovitch, "On the fundamental geometrical properties of linearly measurableplane sets of points II", 155, pp.296~329 (1938)
- "The Geometry of Fractal sets" (1990), John Wiley & Sons Ltd
- "Geometric Measure Theory" (1969)
- "On d-measure and d-dimension", 17, pp.590~596 (1991)
- "The comparison of d-measure with packing and Hausdorffmeasure", 32, pp.523~531 (1992)
- "Geometry of sets and measures in Euclidean spaces" (1995), Cambridge UniversityPress
- "Measure and dimension functions : measurablility anddensities", 121, pp.81~100 (1997)
- "-rectifiable subsets of the plane", pp.236~305 (1944)
- "Geometry of measures in Rn", pp.537~643 (1987)
- X. S. Raymond, "Packing regularity of sets in n-space", 103, pp.133~145 (1988)
- "The packing measure of rectifiable subsets of the plane", 99, pp.285~296 (1986)
- "Packing measure and its evaluation for a brownian path", pp.679~699 (1985)
관련 논문AI추천
Multifractal Analysis of Perturbed Cantor SetsHung Hwan Lee, Hun Ki Baek경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2005 · 제45권 제4호Relation between fractal measures and Cantor measures백인수대한수학회 · 대한수학회논문집2007 · 제22권 제2호On a Quasi-Self-Similar Measure on a Self-Similar Set on the Way to a Perturbed Cantor Set백인수한국수학교육학회 · 이론수학과 교직수학2004 · 제11권 제1호Relative multifractal spectrumNajmeddine Attia대한수학회 · 대한수학회논문집2018 · 제33권 제2호Multifractal spectrum in a self-similar attractor in the unit interval백인수대한수학회 · 대한수학회논문집2008 · 제23권 제4호Scaling Law of the Hausdorff Measure이흥환, Hunki Baek경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2009 · 제49권 제4호
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