标题： 塞格尔圆盘的边界是否是若尔当曲线？ 显示英文标题

标题： Is the boundary of a Siegel disk a Jordan curve?

摘要： 有界不可约局部西格尔圆盘包括多项式的经典西格尔圆盘，有理函数和整函数的有界不可约西格尔圆盘，以及赫尔曼和莫克尔的例子。 我们证明这样的圆盘的边界结构只有两种可能性：要么边界的圆盘可以分解为一个圆，要么它是一个不可分解的连续统。 显示英文摘要

摘要： Bounded irreducible local Siegel disks include classical Siegel disks of polynomials, bounded irreducible Siegel disks of rational and entire functions, and the examples of Herman and Moeckel. We show that there are only two possibilities for the structure of the boundary of such a disk: either the boundary admits a nice decomposition onto a circle, or it is an indecomposable continuum.