Some aspects of recent works on limit theorems in ergodic theory with special emphasis on the "central limit theorem''

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February 2006, 15(1): 143-158. doi: 10.3934/dcds.2006.15.143

Some aspects of recent works on limit theorems in ergodic theory with special emphasis on the "central limit theorem''

1.	Université de Bretagne Occidentale, UMR CNRS n^o6205, Dépt. de Math., 6 av. Le Gorgeu, 29238 BREST, France

Received July 2005 Revised December 2005 Published February 2006

Abstract
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This paper gives a redaction of a talk delivered at the "Ecole pluri-thématique de théorie ergodique '' which took place at the CIRM of Marseille in May 2004.

Keywords: central limit theorem, martingale method, Ergodic theorem, partial hyperbolicity..

Mathematics Subject Classification: Primary: 37D30, 60F05, 58F17; Secondary: 58F1.

Citation: Yves Derriennic. Some aspects of recent works on limit theorems in ergodic theory with special emphasis on the "central limit theorem''. Discrete & Continuous Dynamical Systems - A, 2006, 15 (1) : 143-158. doi: 10.3934/dcds.2006.15.143

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