Abstract
We prove a power-law upper bound for the decay of the correlations for Hölder observables in the case of a nonuniformly hyperbolic map of the interval introduced by Gaspard and Wang as a piecewise linear approximation of the intermittent map of Manneville-Pomeau. The result is then applied to compute the Central Limit Theorem for the same class of observables.
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Lambert, A., Siboni, S. & Vaienti, S. Statistical properties of a nonuniformly hyperbolic map of the interval. J Stat Phys 72, 1305–1330 (1993). https://doi.org/10.1007/BF01048188
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DOI: https://doi.org/10.1007/BF01048188