[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2004.41.2.269

DIMENSIONS OF A DERANGED CANTOR SET WITH SPECIFIC CONTRACTION RATIOS

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

Publication Information

Bulletin of the Korean Mathematical Society / v.41, no.2, 2004 , pp. 269-274 More about this Journal

Abstract

We investigate a deranged Cantor set (a generalized Cantor set) using the similar method to find the dimensions of cookie-cutter repeller. That is, we will use a Gibbs measure which is a weak limit of a subsequence of discrete Borel measures to find the dimensions. The deranged Cantor set that will be considered is a generalized form of a perturbed Cantor set (a variation of the symmetric Cantor set) and a cookie-cutter repeller.

Keywords

Cantor set; fractal dimensions; Gibbs measure;

Citations & Related Records

Reference

1	L S. Baek, Dimensions of weakly convergent deranged Cantor set, Real Anal. Exchange 23 (1997/98), no. 2, 689-696.
2	/ [ K.J.Falconer ] / Techniques in fractal geometry
3	/ [ K.J.Falconer ] / Fractal geometry
4	Diemensions of weakly convergent deranged Cantor set / [ I.S.Baek ] / Real Anal. Exchange
5	Dimensions of the perturbed Cantor set / [ I.S.Baek ] / Real Anal. Exchange