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math.DS2025
Wasserstein convergence rates in the invariance principle for nonuniformly hyperbolic flows
Ian Melbourne, Zhe Wang
We obtain -Wasserstein convergence rates in the invariance principle for nonuniformly hyperbolic flows, where depends on the degree of nonuniformity. Utilizing a marting…
math.DS2025
Quenched invariance principle with a rate for random dynamical systems
Zhenxin Liu, Benoit Saussol, Sandro Vaienti +1
In this paper, we consider the quenched invariance principle for random Young towers driven by an ergodic system. In particular, we obtain the Wassertein convergence rate in the qu…
math.DS2023
Wasserstein convergence rates in the invariance principle for sequential dynamical systems
Zhenxin Liu, Zhe Wang
In this paper, we consider the convergence rate with respect to the Wasserstein distance in the invariance principle for sequential dynamical systems. We utilize and modify the tec…