Iterated invariance principle for random dynamical systems
Dynamical Systems
2025-02-11 v2 Probability
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.
Keywords
Cite
@article{arxiv.2312.04550,
title = {Iterated invariance principle for random dynamical systems},
author = {Davor Dragicevic and Yeor Hafouta},
journal= {arXiv preprint arXiv:2312.04550},
year = {2025}
}
Comments
Revised version. Accepted for publication in Nonlinearity