CRITICAL-POINTS ON THE BOUNDARIES OF SIEGEL DISKS

被引：8

作者：

ROGERS, JT

机构：

来源：

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY | 1995年 / 32卷 / 03期

关键词：

SIEGEL DISK; CRITICAL POINT; JULIA SET; FATOU SET; INDECOMPOSABLE CONTINUUM; PRIME END;

D O I：

10.1090/S0273-0979-1995-00600-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let f be a polynomial map of the Riemann sphere of degree at least two. We prove that if f has a Siegel disk G on which the rotation number satisfies a diophantine condition, then the boundary of G contains a critical point.

引用

页码：317 / 321

页数：5

共 13 条

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