On the measurable dynamics of real rational functions

被引：15
作者：
Shen, WX [1 ]
机构：
[1] Univ Warwick, Dept Math, Coventry CV4 7AL, W Midlands, England
来源：
ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2003年 / 23卷
关键词：
D O I：
10.1017/S0143385702001311
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let f be a real rational function with all critical points on the extended real axis and of even order. Then: (1) f carries no invariant line field on the Julia set unless it is doubly covered by an integral torus endomorphism (a Lattes example); and (2) f / J (f) has only finitely many ergodic components.
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页码：957 / 983
页数：27
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