论文标题

在弱分离属性上

On weak separation property for self-affine Jordan arcs

论文作者

Tetenov, Andrei, Chelkanova, Olesya

论文摘要

我们考虑在$ \ mathbb r^2 $中的自动弧线,并证明违反了这种弧线的“内部”弱分离属性,这意味着ARC是抛物线片段。因此,如果自我诉讼Jordan Arc不是抛物线段,那么它就是某些Multizipper的吸引子。

We consider self-affine arcs in $\mathbb R^2$ and prove that violation of "inner" weak separation property for such arcs implies that the arc is a parabolic segment. Therefore, if a self-affine Jordan arc is not a parabolic segment, then it is the attractor of some multizipper.

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