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

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.

References in corpus (1)

• Rates in almost sure invariance principle for dynamical systems with some hyperbolicity

Cited by in corpus (2)

• Loss of memory and moment bounds for nonstationary intermittent dynamical systems
• Random Young Towers and Quenched Limit Laws