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arXiv · 1510.03214

Central limit theorems for sequential and random intermittent dynamical systems

Matthew Nicol·Andrew Török·Sandro Vaienti
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Abstract

We establish self-norming central limit theorems for non-stationary time series arising as observations on sequential maps possessing an indifferent fixed point. These transformations are obtained by perturbing the slope in the Pomeau-Manneville map. We also obtain quenched central limit theorems for random compositions of these maps.

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Matthew Nicol, Andrew Török, Sandro Vaienti. 2016-06-28. Central limit theorems for sequential and random intermittent dynamical systems. https://doi.org/10.1017/etds.2016.69

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