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.

引用

页码：1663 / 1677

页数：15

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