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Iterated invariance principle for random dynamical systems (2312.04550v2)
Published 7 Dec 2023 in math.DS and math.PR
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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