论文标题
朱莉娅（Julia
Area of Julia sets of non-renormalizable cubic polynomials
论文作者
论文摘要
Buff和Chéritat在二次多项式中的一个示例解决了长期存在的具有正面区域的密集理性朱莉娅设置的问题。从那时起，许多努力一直致力于找出新的理性地图，而朱莉娅（Julia）的茂密景观却没有积极的面积。到目前为止，此类已知的所有例子都是可重新分配的，只有一个例外是二次多项式。在本文中，通过开发一种新方法，我们证明存在一个具有正面区域的朱莉娅（Julia）套件的不可鉴定的立方多项式。
The long-standing problem of existence of nowhere dense rational Julia set with positive area has been solved by an example in quadratic polynomials by Buff and Chéritat. Since then many efforts have been devoted to finding out new classes of rational maps with nowhere dense Julia sets having positive area. So far, all known examples of this kind are renormalizable with only one exception which is a quadratic polynomial. In this paper, by developing a new approach, we prove that there exists a non-renormalizable cubic polynomial having a Julia set with positive area.
