DISTORTION RESULTS AND INVARIANT CANTOR SETS OF UNIMODAL MAPS

被引：65

作者：

MARTENS, M ^{[1
]}

机构：

[1] SUNY STONY BROOK,INST MATH SCI,STONY BROOK,NY 11794

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 1994年 / 14卷

关键词：

D O I：

10.1017/S0143385700007902

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A distortion theory is developed for S-unimodal maps. It will be used to get some geometric understanding of invariant Cantor sets. In particular attracting Cantor sets tum out to have Lebesgue measure zero. Furthermore the ergodic behavior of S-unimodal maps is classified according to a distortion property, called the Markov-property.

引用

页码：331 / 349

页数：19

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