논문KCI 등재
On a Quasi-Self-Similar Measure on a Self-Similar Set on the Way to a Perturbed Cantor Set
한국수학교육학회|2004.02|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제11권 제1호|pp. 51-61
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Abstract
We ¯nd an easier formula to compute Hausdor and packing dimensions of a subset composing a spectral class by local dimension of a self-similar measure on a self-similar Cantor set than that of Olsen. While we cannot apply this formula to computing the dimensions of a subset composing a spectral class by local dimension of a quasi-self-similar measure on a self-similar set on the way to a perturbed Cantor set, we have a set theoretical relationship between some distribution sets. Finally we compare the behaviour of a quasi-self-similar measure on a self-similar Cantor set with that on a self-similar set on the way to a perturbed Cantor set.
참고문헌 (8)
- I, "Dimensions of the perturbed Cantor set", 94 (1993), ~19
- "Hausdor？？ dimension of perturbed Cantor sets without some boundednesscondition", 99(4), pp.279~283 (2003)
- "Dimensions of measures on perturbed Cantor set", 14(1-2), pp.397~403 (2004)
- Math, "Relation between spectral classes of a self-similar Cantor set"
- "Multifractal spectra by quasi-self-similar measures on a perturbed Cantor set"
- K. J. Falconer, "Techniques in fractal geometry" (1997)
- Lee, "Dimensions of a Cantor type set and its distribution sets" (1992)
- L. Olsen, "A multifractal formalism", 116(1), pp.82~196 (1995)
관련 논문AI추천
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