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SPECTRAL CLASSES AND THE PARAMETER DISTRIBUTION SET
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 Title & Authors
SPECTRAL CLASSES AND THE PARAMETER DISTRIBUTION SET
BAEK, IN-SOO;
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 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-similarmeasure which is derived from the self-similar measure and the self-similar set.
 Keywords
Hausdorff dimension;packing dimension;self-similar set;distribution set;local dimension set;
 Language
English
 Cited by
 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, The parameter distribution set for a self-similar measure, Bull. Korean Math. Soc. 49 (2012), no. 5, 1041-1055. crossref(new window)

3.
I.-S. Baek, L. Olsen, and N. Snigireva, Divergence points of self-similar measures and packing dimension, Adv. Math. 214 (2007), no. 1, 267-287. crossref(new window)

4.
K. J. Falconer, Techniques in Fractal Geometry, John Wiley and Sons, 1997.

5.
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. 1, 103-122. crossref(new window)