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arXiv · 1903.09758

Almost Surely Invariance Principle for Non-stationary and Random Intermittent Dynamical Systems

Yaofeng Su
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Abstract

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.

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Yaofeng Su. 2019-03-23. Almost Surely Invariance Principle for Non-stationary and Random Intermittent Dynamical Systems. https://arxiv.org/abs/1903.09758

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