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| Porosity of Self-affine Sets |
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Citation： |
Lifeng XI.Porosity of Self-affine Sets[J].Chinese Annals of Mathematics B,2008,29(3):333~340 |
| Page view： 1160
Net amount： 939 |
Authors： |
Lifeng XI; |
Foundation： |
Project supported by the National Natural Science Foundation of China (Nos. 10671180, 10301029,10241003). |
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| Abstract： |
In this paper, it is proved that any self-affine set satisfying the strong separation condition is uniformly porous. The author constructs a self-affine set which is not porous, although the open set condition holds. Besides, the author also gives a C^1 iterated function system such that its invariant set is not porous. |
Keywords： |
Porosity, Self-affine set, Open set condition |
Classification： |
28A80 |
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