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프랙탈과 다중프랙탈의 연구
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 Title & Authors
프랙탈과 다중프랙탈의 연구
Baek, In-Su;
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 Keywords
하우스도르프 차원;패킹 차원;다중프랙탈;스펙트럼;칸토르 집합;르장드르 변환;자기상사집합;자기상사측도;국소차원;자기상사차원;
 Language
Korean
 Cited by
1.
칸토르와 관련된 주제를 활용한 고등학교 수학영재 교육방안,백인수;

East Asian mathematical journal , 2009. vol.25. 3, pp.229-245
 References
1.
I. S. Baek, Relation between spectral classes of a self-similar Cantor set, J. Math. Anal. Appl. 292 (2004), no. 1, 294-302 crossref(new window)

2.
I. S. Baek, L. Olsen, and N. Snigireva, Divergence points of self-similar measures and packing dimension, preprint

3.
R. Cawley and R. D. Mauldin, Multifractal decomposition of Moran fractals, Adv. Math. 92 (1992), 196-236 crossref(new window)

4.
G. A. Edgar, Measure, Topology and Fractal Geometry, Springer Verlag, 1990

5.
K. J. Falconer, The geometry of fractal sets, Cambridge University Press, 1985

6.
K. J. Falconer, Fractal Geometry, John Wiley and Sons, 1990

7.
K. J. Falconer, Techniques in fractal geometry, John Wiley and Sons, 1997

8.
F. Hausdorff, Dimension und ausress, Mass. Math. Ann. 79 (1919), 157-179

9.
G. Julia, Sur l'iteratioti des fonctions rationnelles, J. Math. Pure Appl. 7 (1918), no. 4, 47-245

10.
B. B. Mandelbrot, Les Object Fractals: Forme, Hasard et Dimension, Flammarion, 1975

11.
B. B. Mandelbrot, The fractal geometry of Nature, W. H. Freeman and Company, 1982

12.
P. M. Mattila, The geometry of sets and measures in Euclidean spaces, Cambridge University Press, 1995

13.
S. Ngai and Y. Wang, Hausdorff dimension of self-similar sets with overlaps, J. London Math. Soc. 63 (2001), no. 2, 655-672 crossref(new window)

14.
L. Olsen and S. Winter, Normal and non-normal points of self-similar sets and divergence points of self-similar measures, J. London Math. Soc. 67 (2003), no. 2, 103-122 crossref(new window)

15.
D. Rand, The singularity spectrum f(a) for cookie-cutters, Ergodic Th. Dynam. Sys. 9 (1989), 527-541

16.
C. A. Rogers, Dimension prints, Mathematika 35 (1988), 1-27 crossref(new window)

17.
X. Sun, H. Chen, Z. Wu, and Y. Yuan, Multifractal analysis of Hang Seng index in Hong Kong stock market, Physica A, Statistical mechanics and its applications 291 (2001), no. 1, 553-562 crossref(new window)

18.
C. Tricot, Two definitions of fractional dimension, Math. Proc. Cambridge Philo. Soc. 91 (1982), 54-74