On non-uniform hyperbolicity assumptions in one-dimensional dynamics  

作　　者：LI HuaiBin SHEN WeiXiao 

机构地区：[1]Department of Mathematics,University of Science and Technology of China,Hefei 230026,China [2]Department of Mathematics,National University of Singapore,Singapore 117543,Singapore

出　　处：《Science China Mathematics》2010年第7期1663-1677,共15页中国科学:数学(英文版)

基　　金：supported by National Natural Science Foundation of China (Grant No.10971207);a start-up grant from National University of Singapore (Grant No. R-146-000-128-133)

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 C3 interval maps with non-flat critical points.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 C3 interval maps with non-flat critical points.

关 键 词：POLYNOMIALS large derivatives backward contraction interval maps 

分 类 号：O186.11[理学—数学]