Bulletin of the Korean Mathematical Society (대한수학회보)
- Volume 35 Issue 3
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- Pages.397-408
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- 1998
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- 1015-8634(pISSN)
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- 2234-3016(eISSN)
Hausdorff dimension of some sub-similar sets
Abstract
We often use the Hausdorff dimension as a tool of measuring how complicate the fractal is. But it is usually very difficult to calculate that value. So there have been many tries to find the dimension of the given set and most of these are related to the density theorem of invariant measure. The aims of this paper are to introduce the k-irreducible subsimilar sets as a generalization of the set defined by V.Drobot and J.Turner in ([1]) and calculate their Hausdorff dimensions by using algebraic methods.