Iterated invariance principle for random dynamical systems
arxiv(2023)
摘要
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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