On non-uniform hyperbolicity assumptions in one-dimensional dynamics

被引：8
|
作者：
Li HuaiBin [2 ]
Shen WeiXiao [1 ]
机构：
[1] Natl Univ Singapore, Dept Math, Singapore 117543, Singapore
[2] Univ Sci & Technol China, Dept Math, Hefei 230026, Peoples R China
来源：
SCIENCE CHINA-MATHEMATICS | 2010年 / 53卷 / 07期
基金：
中国国家自然科学基金;
关键词：
polynomials; large derivatives; backward contraction; interval maps; BACKWARD CONTRACTION; GROWTH CONDITION; RATIONAL MAPS; JULIA SETS; POLYNOMIALS; RIGIDITY;
D O I：
10.1007/s11425-010-3134-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give an essentially equivalent formulation of the backward contracting property, defined by Juan Rivera-Letelier, in terms of expansion along the orbits of critical values, for complex polynomials of degree at least 2 which are at most finitely renormalizable and have only hyperbolic periodic points, as well as all C (3) interval maps with non-flat critical points.
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页码：1663 / 1677
页数：15
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