摘要
设Ｐ（ｚ）是ｄ（≥２）次多项式，Ｊ是Ｐ（ｚ）的Ｊｕｌｉａ集，σ：∑ｎ→∑ｎ是ｎ个符号的单边符号空间∑ｎ上的转移自映射．本文证明了当ｐ（ｚ）的某ｍ（１≤ｍ≤ｄ－１）个有穷临界点的轨道收敛于∞时，ｐ｜Ｊ拓扑半共轭于σ：∑（ｍ＋１）→∑（ｍ＋１），而当ｍ＝ｄ－１时，ｐ｜Ｊ拓扑共轭于σ：∑ｄ→∑ｄ。
In this paper, the following results are proved.Let p(z)be a polynomial of degree d and J be the Julia set.Suppose the orbits of m (1≤m≤d-1)finite critical points of p(z)coverge to infinity.Then p|J is topologically semiconjugate to the one-sided shift on m + 1 symbols. In particular, when m = d-1, p|J is topologically conjugate to one-sided shift on d symbols.
出处
《数学学报（中文版）》
SCIE
CSCD
北大核心
1996年第6期814-819,共6页
Acta Mathematica Sinica：Chinese Series
