3 papers
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.CV2024
On the derivatives of the Liouville currents
Xinlong Dong, Dragomir Šarić, Zhe Wang
The Liouville map, introduced by Bonahon, assigns to each point in the Teichmüller space a natural Radon measure on the space of geodesics of the base surface. The Liouville map is…