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Central limit theorems for sequential and random intermittent dynamical systems (1510.03214v3)

Published 12 Oct 2015 in math.DS

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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