LOCAL CENTRAL LIMIT THEOREM AND BERRY-ESSEEN THEOREM FOR SOME NONUNIFORMLY HYPERBOLIC DIFFEOMORPHISMS  

作　　者：夏红强 

机构地区：[1]College of Sciene, Wuhan Textile University

出　　处：《Acta Mathematica Scientia》2010年第3期701-712,共12页数学物理学报（B辑英文版）

基　　金：Supported by NSF of China (10571174);the Scientific Research Foundation of Ministry of Education for Returned Overseas Chinese Scholars;the Scientific Research Foundation of Ministry of Human and Resources and Social Security of China for Returned Overseas Scholars

摘　　要：We prove that, for non-uniformly hyperbolic diffeomorphisms in the sense of Young, the local central limit theorem holds, and the speed in the central limit theorem is O（1/√n）.We prove that, for non-uniformly hyperbolic diffeomorphisms in the sense of Young, the local central limit theorem holds, and the speed in the central limit theorem is O（1/√n）.

关 键 词：Local central limit theorem Berry-Esseen theorem nonuniform hyperbolic diffeomorphism Henon map 

分 类 号：O175.27[理学—数学]