본문 바로가기
KERD
논문KCI 등재

Multifractal Analysis of Perturbed Cantor Sets

Hung Hwan Lee|Hun Ki Baek
경북대학교 자연과학대학 수학과|2005.12|Kyungpook Mathematical Journal|제45권 제4호|pp. 503-510

2

조회

0

다운로드

0

인용

0

참고문헌

주제분류수학

초록

Abstract

LetfK g 2 . be the multifractal spectrums of a perturbed Cantor setK . Wend the set of values of nonempty setK by using the Birkho ergodic theorem. Andwe also show that suchK is a fractal set in the sense of Taylor [12].

참고문헌 (14)

  1. "Real Analysis Exchange", 94, pp.19 1 (1993), 269~273
  2. "Multifractaldecompositions of Moran fractals", 92, pp.196~236 (1992)
  3. "Multifractaldecompositions of digraph recursive fractals", 65, pp.604~628 (1992)
  4. K. J. Falconer, "The Geometry of Fractal sets" (1990), John Wiley & Sons Ltd
  5. "Techniques on Fractal Geometry" (1997), John Wiley & Sons Ltd
  6. "Characterization of strange attractors", 50, pp.346~349 (1983)
  7. "The characterization of strange sets", l. p. kada(ff), pp.1141~1151 (1986)
  8. "The infinite number of generalized dimensions of fractal and strange attractors", pp.435~444 (1983)
  9. "Dimension of measure on perturbed Cantor sets", 122, pp.223~236 (2002)
  10. "Singularity spectrum for recurrent IFS attractors", 6, pp.337~348 (1992)
  11. "A multifractal Formalism", 116, pp.82~195 (1995)
  12. "The measure theory of randomfractals", 100, pp.383~406 (1986)
  13. "Lecture Notes in Math." (1975), Springer - Verlag
  14. "Fractionalintegral associated to generalized cookie-cutter set and its physical interpretation 5569-5577.integral associated to generalized cookie-cutter set and its physical interpretation", 30, pp.5569~5577 (1997)

관련 논문AI추천

On a Quasi-Self-Similar Measure on a Self-Similar Set on the Way to a Perturbed Cantor Set백인수한국수학교육학회 · 이론수학과 교직수학2004 · 제11권 제1호Regularities of Fractal Measures on R^{2}Hung Hwan Lee, Hun Ki Baek경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2004 · 제44권 제4호Multifractal spectrum in a self-similar attractor in the unit interval백인수대한수학회 · 대한수학회논문집2008 · 제23권 제4호Correlation dimensions of Cantor-like setsHung Hwan Lee, Mi Ryeong Lee대한수학회 · 대한수학회논문집2003 · 제18권 제2호Dimension of deformed self-similar setsHyun Deok Lee, Jungju Park, Taehee Kim대한수학회 · 대한수학회논문집2004 · 제19권 제3호Dimension for a Cantor-like set with overlapsHung Hwan Lee, Jungju Park, Mi Ryeong Lee대한수학회 · 대한수학회논문집2004 · 제19권 제4호

이 간행물의 다른 논문 (14건)

Variants of Compactness in Pointfree TopologyBernhard Banaschewski, Sung Sa Hongpp. 455-470Fredholm Type Integral Equations and Certain PolynomialsV. B. L. Chaurasia, A. S. Shekhawatpp. 471-480A Completion of Semi-simple MV-algebraY. S. Park, E. S. Kim, T. H. Choepp. 481-489Extension of Exponentially Convex Function on the Heisenberg GroupMaha A. Bajnaid, A. M. Zabelpp. 491-502Eventually Regular Regressive Generalized Transformation SemigroupsYupaporn Kemprasit, T. Phongpattanacharoen, Amorn Wasanawichitpp. 511-518
원문 보기