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arXiv · 1503.01423

Central limit theorem for the modulus of continuity of averages of observables on transversal families of piecewise expanding unimodal maps

Amanda de Lima·Daniel Smania
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Abstract

We prove that the Newton quotient of the average R(t) of a lipschitzian function (with non vanishing variation) with respect to the SRB measure on a transversal family f_t of piecewise expanding unimodal maps, after an appropriated normalization, converges in distribution to the normal distribution.

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Amanda de Lima, Daniel Smania. 2016-04-22. Central limit theorem for the modulus of continuity of averages of observables on transversal families of piecewise expanding unimodal maps. https://doi.org/10.1017/s1474748016000177

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