[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.2004.19.3.469

DIMENSION OF DEFORMED SELF-SIMILAR SETS

Kim, Tae-Hee (Department of Mathematics Kyungpook National University)
Park, Jung-Ju (Department of Mathematics Kyungpook National University)
Lee, Hung-Hwan (Department of Mathematics Kyungpook National University)

Publication Information

Communications of the Korean Mathematical Society / v.19, no.3, 2004 , pp. 469-475 More about this Journal

Abstract

We generalize S. Ikeda's results for perturbed cantor sets showing how we get the dimensions for deformed self-similar sets.

Keywords

Hausdorff dimension; packing dimension; deformed self-similar set;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)

Reference
Cited By KSCI

1	The packing measure and its evaluation for a Brownian path / [ S. J. Taylor;C. Tricot ] / Trans. Amer. Math. Soc. DOI ScienceOn
2	On loosely self-similar sets / [ S. Ikeda ] / Hiroshima Math. J.
3	Dimensions of Measures on perturbed Cantor set / [ S. Ikeda;M. Nakamura ] / Topology Appl.
4	Packing dimension for deformed self-similar sets / [ T. H. Kim;H. H. Lee ] / Korean J. Math. Soc.
5	/ [ K. J. Falconer ] / Fractal geometry-Mathematical foundations and applications
6	The Hausdorff dimension for deformed self-similar sets / [ T. H. Kim;S. P. Hong;H. H. Lee ] / Hiroshima Math. J.
7	/ [ C. A. Rogers ] / Hausdorff measures