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

Published 23 Mar 2019 in math.DS | (1903.09763v2)

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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Authors (1)

  1. Yaofeng Su 

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