Dynamical Systems Seminar - Dept of Mathematics, University of Houston

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Yaofeng Su
University Houston

Vector-valued Almost Sure Invariance Principle

April 1, 2019
1:00 pm PHG 646

Abstract

We will discuss our proof of the vector-valued Almost Sure Invariance Principle (VASIP) for non-stationary dynamical systems. Applications include VASIP for non-stationary (non)uniformly hyperbolic/expanding dynamical systems and quenched VASIP for random dynamical systems. This extends the VASIP results known for the corresponding stationary dynamical systems.

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