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Empirical central limit theorems for ergodic automorphisms of the torus

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Publication:2866849
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zbMath1277.37063arXiv1210.3546MaRDI QIDQ2866849

Françoise Pène, Florence Merlevède, Jérôme Dedecker

Publication date: 9 December 2013

Full work available at URL: https://arxiv.org/abs/1210.3546


zbMATH Keywords

moment inequalitiesempirical distribution functionKiefer processergodic automorphisms of the torus


Mathematics Subject Classification ID

Functional limit theorems; invariance principles (60F17) Partially hyperbolic systems and dominated splittings (37D30)


Related Items (3)

Study of almost everywhere convergence of series by mean of martingale methods ⋮ Martingale approximations and anisotropic Banach spaces with an application to the time-one map of a Lorentz gas ⋮ Moment bounds for dependent sequences in smooth Banach spaces







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