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arXiv · 1903.09763

Vector-valued Almost Sure Invariance Principle For Non-stationary Dynamical Systems

Yaofeng Su
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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.

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Yaofeng Su. 2019-03-23. Vector-valued Almost Sure Invariance Principle For Non-stationary Dynamical Systems. https://arxiv.org/abs/1903.09763

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