[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.14403/jcms.2015.28.1.29

THE DIMENSIONS OF THE MINIMUM AND MAXIMUM CYLINDRICAL LOCAL DIMENSION SETS

Baek, In-Soo (Department of Mathematics Busan University of Foreign Studies)

Publication Information

Journal of the Chungcheong Mathematical Society / v.28, no.1, 2015 , pp. 29-38 More about this Journal

Abstract

We compute the Hausdorff and packing dimensions of the cylindrical lower or upper local dimension set for a self-similar measure having different minimum and maximum of the local dimension on a self-similar set satisfying the open set condition.

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, L. Olsen, and N. Snigireva, Divergence points of self-similar measures and packing dimension, Adv. Math. 214 (2007), no. 1, 267-287. DOI ScienceOn
3	I. -S. Baek, The parameter distribution set for a self-similar measure, Bull. Kor. Math. Soc. 49 (2012), no. 5, 1041-1055. 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 a self-similar measures, J. London Math. Soc. 67 (2003), no. 3, 103-122. DOI