논문KCI 등재
Spectral classes and the parameter distribution set
대한수학회 (The Korean Mathematical Society)|2015.07|대한수학회논문집 (Communications of the KMS)|제30권 제3호|pp. 221-226
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참고문헌
키워드
주제분류수학
초록
The natural projection of a parameter lower (upper) distribution set for a self-similar measure on a self-similar set satisfying the open set condition is the cylindrical lower or upper local dimension set for the Legendre self-similar measure which is derived from the self-similar measure and the self-similar set.
Abstract
The natural projection of a parameter lower (upper) distribution set for a self-similar measure on a self-similar set satisfying the open set condition is the cylindrical lower or upper local dimension set for the Legendre self-similar measure which is derived from the self-similar measure and the self-similar set.
참고문헌 (5)
- I. -S. Baek, "Relation between spectral classes of a self-similar Cantor set", J. Math. Anal. Appl, 292(1), pp.294~302 (2004)
- 백인수, "THE PARAMETER DISTRIBUTION SET FOR A SELF-SIMILAR MEASURE", 대한수학회보, 49(5), pp.1041~1055 (2012), 대한수학회
- I. -S. Baek, "Divergence points of self-similar measures and packing dimension", Adv. Math, 214(1), pp.267~287 (2007)
- K. J. Falconer, "Techniques in Fractal Geometry" (1997), John Wiley and Sons
- L. Olsen, "Normal and non-normal points of self-similar sets and divergence points of self-similar measures", J. London Math. Soc, 67(1), pp.103~122 (2003)
관련 논문AI추천
THE PARAMETER DISTRIBUTION SET FOR A SELF-SIMILAR MEASURE백인수대한수학회 · 대한수학회보2012 · 제49권 제5호Multifractal spectrum in a self-similar attractor in the unit interval백인수대한수학회 · 대한수학회논문집2008 · 제23권 제4호Regularities of Fractal Measures on R^{2}Hung Hwan Lee, Hun Ki Baek경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2004 · 제44권 제4호On a Quasi-Self-Similar Measure on a Self-Similar Set on the Way to a Perturbed Cantor Set백인수한국수학교육학회 · 이론수학과 교직수학2004 · 제11권 제1호Packing dimension of measures on a random Cantor set백인수대한수학회 · 대한수학회지2004 · 제41권 제5호Dimensions of distribution sets in the unit interval백인수대한수학회 · 대한수학회논문집2007 · 제22권 제4호
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