Porosity of Self-affine Sets |
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| Authors: | Lifeng XI |
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| Affiliation: | Institute of Mathematics,Zhejiang Wanli University,Ningbo 315100,Zhejiang,China |
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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 C1 iterated function system such that its invariant set is not porous. |
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| Keywords: | Porosity Self-affine set Open set condition |
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