Article Contents
Article Contents

# Almost surely invariance principle for non-stationary and random intermittent dynamical systems

• We establish almost sure invariance principles (ASIP), a strong form of approximation by Brownian motion, 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. Quenched ASIP for random compositions of these maps is also obtained.

Mathematics Subject Classification: Primary: 60F17, 37E05; Secondary: 37A25.

 Citation:

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