[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.2015.30.3.221

SPECTRAL CLASSES AND THE PARAMETER DISTRIBUTION SET

BAEK, IN-SOO (Department of Mathematics Busan University of Foreign Studies)

Publication Information

Communications of the Korean Mathematical Society / v.30, no.3, 2015 , pp. 221-226 More about this Journal

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;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)

Reference
Cited By KSCI

1	I.-S. Baek, Relation between spectral classes of a self-similar Cantor set, J. Math. Anal. Appl. 292 (2004), no. 1, 294-302. DOI ScienceOn
2	I.-S. Baek, The parameter distribution set for a self-similar measure, Bull. Korean Math. Soc. 49 (2012), no. 5, 1041-1055. DOI ScienceOn
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. DOI ScienceOn
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. DOI