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An Invariance Principle for Maps with Polynomial Decay of Correlations

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Abstract

We give a general method of deriving statistical limit theorems, such as the central limit theorem and its functional version, in the setting of ergodic measure preserving transformations. This method is applicable in situations where the iterates of discrete time maps display a polynomial decay of correlations.

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Authors and Affiliations

  1. Institute of Mathematics, Silesian University, ul. Bankowa 14, 40-007, Katowice, Poland

    Marta Tyran-Kamińska

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  1. Marta Tyran-Kamińska
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Correspondence to Marta Tyran-Kamińska.

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Communicated by J.L. Lebowitz

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Tyran-Kamińska, M. An Invariance Principle for Maps with Polynomial Decay of Correlations. Commun. Math. Phys. 260, 1–15 (2005). https://doi.org/10.1007/s00220-005-1400-z

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  • DOI: https://doi.org/10.1007/s00220-005-1400-z

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