论文标题
复合体A具有界类型旋转编号的多政治圆形图的先验界限
Complex a priori bounds for multicritical circle maps with bounded type rotation number
论文作者
论文摘要
在本文中,我们研究了具有几个关键点和有界型旋转数的圆的同态形态。我们证明了这些地图的先验界限。作为一个应用程序,我们获得了具有相同有限类型旋转号码的Bi-Abic Circe映射为$ C^{1+α} $刚性。
In this paper we study homeomorphisms of the circle with several critical points and bounded type rotation number. We prove complex a priori bounds for these maps. As an application, we get that bi-cubic circle maps with same bounded type rotation number are $C^{1+α}$ rigid.