数学物理学报(英文版)

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ON THE INVERSE IMAGE SET OF RATIONAL FUNCTIONS

孙道椿   

  1. 华南师范大学数学系, 广州 510631
  • 收稿日期:2005-02-15 修回日期:1900-01-01 出版日期:2007-07-20 发布日期:2007-07-20
  • 通讯作者: 孙道椿
  • 基金资助:

    Project Supported by the National Natural Science Foundation of China (10471048), and the Research Fund for the Doctoral Program of Higher Education (20050574002)

ON THE INVERSE IMAGE SET OF RATIONAL FUNCTIONS

Sun Daochun   

  1. Department of Mathematics, South China Normal University, Guangzhou 510631, China
  • Received:2005-02-15 Revised:1900-01-01 Online:2007-07-20 Published:2007-07-20
  • Contact: Sun Daochun

摘要:

This article studies the inverse image of rational functions. Several theorems are obtained on the Julia set expressed by the inverse image, and a mistake is pointed out in H.Brolin' theorem incidentally.

关键词: Rational dynamical system, Julila set, Fatou component

Abstract:

This article studies the inverse image of rational functions. Several theorems are obtained on the Julia set expressed by the inverse image, and a mistake is pointed out in H.Brolin' theorem incidentally.

Key words: Rational dynamical system, Julila set, Fatou component

中图分类号: 

  • 30D05