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Topological Magnitude of a Special Subset in a Self-similar Cantor Set

백인수
한국수학교육학회|2007.02|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제14권 제1호|pp. 1-5

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참고문헌

주제분류수학

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Abstract

We study the topological magnitude of a special subset from the distri-bution subsets in a self-similar Cantor set. The special subset whose very elementhas no acumulation point of a frequency sequence as ome num ber elated to thesimilarity dimension of the self-similar Cantor set is of the rst category in theself-similar Cantor set.

참고문헌 (15)

  1. "Hausdorff dimension of perturbed Cantor sets without some boundednesscondition", 99(4), pp.279~283 (2003)
  2. "On a self-similar measure on a self-similar Cantor set", 16(2), pp.1~10 (2003)
  3. "Spectra of deranged Cantor set by weak local dimension", 44(3), pp.493~500 (2004)
  4. "Relation between spectral classes of a self-similar Cantor set", 292(1), pp.294~302 (2004)
  5. "Variational principles and mixed multifractal spectra", 353, pp.3919~3944 (2001)
  6. "Distribution of frequencies of digits via multi-fractal analysis", 97, pp.410~438 (2002)
  7. "Multifractal decompositions of Moran fractals"
  8. "Techniques in fractal geometry" (1997), John Wiley and Sons
  9. "The Hausdorff dimension of deformed self-similarsets", 32(1), pp.1~6 (2002)
  10. "Dimensions of a Cantor type set and its distribution sets", pp.149~152 (1992)
  11. "A multifractal formalism", 116, pp.82~196 (1995)
  12. "Extremely non-normal numbers", 137, pp.43~53 (2004)
  13. "Normal and non-normal points of self-similar sets and divergencepoints of self-similar measures", 67(2), pp.103~122 (2003)
  14. "Self-conformal multifractal measure", 19(4), pp.486~513 (1997)
  15. "Two definitions of fractional dimension", pp.57~74 (1982)

관련 논문AI추천

Dimension 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 제1호Correlation dimensions of Cantor-like setsHung Hwan Lee, Mi Ryeong Lee대한수학회 · 대한수학회논문집2003 · 제18권 제2호Dimensions of a deranged Cantor set with specific contraction ratios백인수대한수학회 · 대한수학회보2004 · 제41권 제2호Multifractal Analysis of Perturbed Cantor SetsHung Hwan Lee, Hun Ki Baek경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2005 · 제45권 제4호Dimension of deformed self-similar setsHyun Deok Lee, Jungju Park, Taehee Kim대한수학회 · 대한수학회논문집2004 · 제19권 제3호

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