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| HAL: hal-00681695, version 1 |
| DOI: 10.3934/dcds.2012.32.1597 |
| Detailed view |  Export this paper |
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| Discrete and Continuous Dynamical Systems 32, 5 (2012) 1597-1626 |
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| Central limit theorem for stationary products of toral automorphisms |
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| Jean-Pierre Conze 1Stéphane Le Borgne 1 |
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| (2012) |
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| Let (A(n)(omega)) be a stationary process in M-d*(Z). For a Holder function f on T-d we consider the sums Sigma(n)(k=1) f((t)A(k)(omega) (t)A(k-1)(omega) ... tA(1)(omega) x mod 1) and prove a Central Limit Theorem for a.e. omega in different situations in particular for "kicked" stationary processes. We use the method of multiplicative systems of Komlos and the Multiplicative Ergodic Theorem. |
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| 1: | Institut de Recherche Mathématique de Rennes (IRMAR) |
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CNRS : UMR6625 – Université de Rennes 1 – École normale supérieure de Cachan - ENS Cachan – Institut National des Sciences Appliquées (INSA) : - RENNES – Université de Rennes II - Haute Bretagne |
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| Théorie ergodique |
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| Subject | : | Mathematics/Probability |
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| Toral automorphisms – central limit theorem – multiplicative system – kicked stationary process – Lyapunov exponents |
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| hal-00681695, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00681695 | |
| oai:hal.archives-ouvertes.fr:hal-00681695 | |
| From: Marie-Annick Guillemer | |
| Submitted on: Thursday, 22 March 2012 10:30:26 | |
| Updated on: Thursday, 22 March 2012 10:30:26 | |
