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arXiv:1503.01423 [math.DS]AbstractReferencesReviewsResources

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

Published 2015-03-04Version 1

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.

Comments: arXiv admin note: text overlap with arXiv:1309.2116 by other authors
Categories: math.DS
Subjects: 37C30, 37C40, 37E05, 37A05
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