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

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）.

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Veröffentlicht in:	Acta mathematica scientia 2010-05, Vol.30 (3), p.701-712
1. Verfasser:	夏红强
Format:	Artikel
Sprache:	eng
Schlagworte:	37C27 37C30 37D35 37D50 Berry Berry-Esseen theorem Hénon map Local central limit theorem Mathematical analysis nonuniform hyperbolic diffeomorphism Theorems 中心极限定理微分同胚非均匀
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Beschreibung
Zusammenfassung:	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）.
ISSN:	0252-9602 1572-9087
DOI:	10.1016/S0252-9602(10)60071-9