Decay of geometry for unimodal maps:The C^2 case

作     者：SHEN WeiXiao1,2 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 

作者机构：Department of Mathematics University of Science and Technology of China Hefei China Department of Mathematics National University of Singapore Singapore Singapore 

出 版 物：《Chinese Science Bulletin》 (CHINESE SCIENCE BULLETIN)

年 卷 期：2009年第54卷第11期

页      面：1859-1862页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Supported by the National Basic Research Program of China (Grant No. 2006CB805900) Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20070358058) 

主　　题：衰变 几何图 案件 几何性质 比率估计 证明 

摘      要：We prove that a C2 unimodal interval map with critical order not greater than 2 has the decay of geometry property, by showing that all the cross-ratio estimates needed in the previous proof for the C3 case remain true.