Some unbounded functions of intermittent maps for which the central limit theorem holds

zbMath1160.37354arXiv0712.2726MaRDI QIDQ3623894

Clémentine Prieur, Jérôme Dedecker

Publication date: 27 April 2009

Full work available at URL: https://arxiv.org/abs/0712.2726

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Dynamical systems involving maps of the interval (37E05) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (7)

Strong approximation results for the empirical process of stationary sequences ⋮ The Mann-Whitney \(U\)-statistic for \(\alpha\)-dependent sequences ⋮ Functional correlation decay and multivariate normal approximation for non-uniformly expanding maps ⋮ Rosenthal-type inequalities for the maximum of partial sums of stationary processes and examples ⋮ Some almost sure results for unbounded functions of intermittent maps and their associated Markov chains ⋮ Moment bounds for dependent sequences in smooth Banach spaces ⋮ An empirical central limit theorem for intermittent maps

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