DOI QR코드

DOI QR Code

DIMENSIONS OF A DERANGED CANTOR SET WITH SPECIFIC CONTRACTION RATIOS

  • Baek, In-Soo (Department of Mathematics, Pusan University of Foreign Studies)
  • Published : 2004.05.01

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.

References

  1. L S. Baek, Dimensions of weakly convergent deranged Cantor set, Real Anal. Exchange 23 (1997/98), no. 2, 689-696.
  2. Fractal geometry K.J.Falconer
  3. Techniques in fractal geometry K.J.Falconer
  4. Real Anal. Exchange v.23 no.2 Diemensions of weakly convergent deranged Cantor set I.S.Baek
  5. Real Anal. Exchange v.19 no.1 Dimensions of the perturbed Cantor set I.S.Baek