整函数的Baker游荡域与奇异方向

Baker Wandering Domains and Singular Directions of Meromorphic Functions

讨论了Baker游荡域的存在性问题.Baker游荡域是亚纯函数复动力系统中的一种重要的Fatou分支.主要用亚纯函数Borel方向的非存在性来推断Baker游荡域的非存在性.

In this paper,the some problem on existence of Baker wandering domains is discussed.The Baker wandering domains are one of important Fatou components in the complex dynamics of meromorphic functions.The non-existence of the Baker wandering domains in term of non-existence Borel directions in value distribution of meromorphic functions is determined.