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

doi:10.1016/S0252-9602(10)60071-9

数学物理学报(英文版) ›› 2010, Vol. 30 ›› Issue (3): 701-712.doi: 10.1016/S0252-9602(10)60071-9

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

夏红强

College of Sciene, Wuhan Textile University, No.1 Fangzhi Road, Wuhan 430073, China

收稿日期:2006-12-29 修回日期:2008-09-30 出版日期:2010-05-20 发布日期:2010-05-20
基金资助:
Supported by NSF of China (10571174) and the Scientific Research Foundation of Ministry of Education for Returned Overseas Chinese Scholars, and the Scientific Research Foundation of Ministry of Human and Resources and Social Security of China for Returned Overseas Scholars

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

XIA Hong-Qiang

College of Sciene, Wuhan Textile University, No.1 Fangzhi Road, Wuhan 430073, China

Received:2006-12-29 Revised:2008-09-30 Online:2010-05-20 Published:2010-05-20
Supported by:
Supported by NSF of China (10571174) and the Scientific Research Foundation of Ministry of Education for Returned Overseas Chinese Scholars, and the Scientific Research Foundation of Ministry of Human and Resources and Social Security of China for Returned Overseas Scholars

摘要/Abstract

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}).

关键词: Local central limit theorem, Berry-Esseen theorem, nonuniform hyperbolic diffeomorphism, Hénon map

Abstract:

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}).

Key words: Local central limit theorem, Berry-Esseen theorem, nonuniform hyperbolic diffeomorphism, Hénon map

中图分类号:

37C27

夏红强. LOCAL CENTRAL LIMIT THEOREM AND BERRY-ESSEEN THEOREM FOR SOME NONUNIFORMLY HYPERBOLIC DIFFEOMORPHISMS[J]. 数学物理学报(英文版), 2010, 30(3): 701-712.

XIA Hong-Qiang. LOCAL CENTRAL LIMIT THEOREM AND BERRY-ESSEEN THEOREM FOR SOME NONUNIFORMLY HYPERBOLIC DIFFEOMORPHISMS[J]. Acta mathematica scientia,Series B, 2010, 30(3): 701-712.

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

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

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