论文标题
朱莉娅套装的滑动可能性
Sliding possibility of the Julia sets
论文作者
论文摘要
A. sannami构建了一个嵌入在差异集具有正量值的真实线中的可区分的cantor集的示例。在本文中，我们将二维欧几里得空间集的差异集的定义概括为两组之间的向量集，并估算其度量。对于二次映射q_c（z）= z^2+c，如果| c |> 3+sqrt {3}，我们获得其朱莉亚集合差的度量消失。
A. Sannami constructed an example of the differentiable Cantor set embedded in the real line whose difference set has a positive measure. In this paper, we generalize the definition of the difference sets for sets of the two dimensional Euclidean space as the sets of vectors between two sets, and estimate their measures. For the quadratic map Q_c(z)=z^2+c, we obtain that the measure of the difference set of its Julia set vanishes if |c|>3+sqrt{3}.
