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Vector-valued Almost Sure Invariance Principle For Non-stationary Dynamical Systems (1903.09763v2)
Published 23 Mar 2019 in math.DS
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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