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DIMENSIONS OF A DERANGED CANTOR SET WITH SPECIFIC CONTRACTION RATIOS
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 Title & Authors
DIMENSIONS OF A DERANGED CANTOR SET WITH SPECIFIC CONTRACTION RATIOS
Baek, In-Soo;
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 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;
 Language
English
 Cited by
1.
RELATION BETWEEN FRACTAL MEASURES AND CANTOR MEASURES,;

대한수학회논문집, 2007. vol.22. 2, pp.241-246 crossref(new window)
 References
1.
Real Anal. Exchange, vol.19. 1, pp.269-273

2.
L S. Baek, Dimensions of weakly convergent deranged Cantor set, Real Anal. Exchange 23 (1997/98), no. 2, 689-696.

3.
Real Anal. Exchange, vol.23. 2, pp.689-696

4.
Fractal geometry,

5.
Techniques in fractal geometry,