Acta mathematica scientia, Series B >
LOCAL CENTRAL LIMIT THEOREM AND BERRY-ESSEEN THEOREM FOR SOME NONUNIFORMLY HYPERBOLIC DIFFEOMORPHISMS
Received date: 2006-12-29
Revised date: 2008-09-30
Online 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
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}).
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 . DOI: 10.1016/S0252-9602(10)60071-9
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