Vector-valued Almost Sure Invariance Principle For Non-stationary Dynamical Systems
Dynamical Systems
2021-07-06 v2
Abstract
We prove vector-valued almost sure invariance principle (VASIP) for nonstationary dynamical systems, under assumptions of correlation decay and variance growth. Applications include VASIP for non-stationary (non)uniformly expanding dynamical systems, quenched VASIP for random dynamical systems. In particular, VASIP is satisfied for corresponding stationary dynamical systems.
Cite
@article{arxiv.1903.09763,
title = {Vector-valued Almost Sure Invariance Principle For Non-stationary Dynamical Systems},
author = {Yaofeng Su},
journal= {arXiv preprint arXiv:1903.09763},
year = {2021}
}