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arXiv · 2312.04550

Iterated invariance principle for random dynamical systems

Davor Dragicevic·Yeor Hafouta
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Abstract

We prove a weak iterated invariance principle for a large class of non-uniformly expanding random dynamical systems. In addition, we give a quenched homogenization result for fast-slow systems in the case when the fast component corresponds to a uniformly expanding random system. Our techniques rely on the appropriate martingale decomposition.

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Davor Dragicevic, Yeor Hafouta. 2023-12-07. Iterated invariance principle for random dynamical systems. https://arxiv.org/abs/2312.04550

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