121 citations · 149 across the 15 of their papers we have counts for
16 papers
Smooth invariant foliations without a bunching condition and Belitskii's linearization for random dynamical systems
Wenmeng Zhang, Kening Lu, Weinian Zhang
Smooth linearization is one of the central themes in the study of dynamical systems. The classical Belitskii's linearization theorem has been widely used in the investigation…
Large deviations for 2D stochastic Navier-Stokes Equations driven by a periodic force and a degenerate noise
Rongchang Liu, Kening Lu
We consider the incompressible 2D Navier-Stokes equations on the torus, driven by a deterministic time periodic force and a noise that is white in time and degenerate in Fourier sp…
Exponential mixing and limit theorems of quasi-periodically forced 2D stochastic Navier-Stokes Equations in the hypoelliptic setting
Rongchang Liu, Kening Lu
We consider the incompressible 2D Navier-Stokes equations on the torus driven by a deterministic time quasi-periodic force and a noise that is white in time and degenerate in Fouri…
Statistical Properties of 2D Stochastic Navier-Stokes Equations with Time-Periodic Forcing and Degenerate Stochastic Forcing
Rongchang Liu, Kening Lu
We consider the incompressible 2D Navier-Stokes equations with periodic boundary conditions driven by a deterministic time periodic forcing and a degenerate stochastic forcing. We…
Rough Path Theory to approximate Random Dynamical Systems
Hongjun Gao, María J. Garrido-Atienza, Anhui Gu +2
We consider the rough differential equation $dY=f(Y)d\bm \om$ where $\bm \om=(ω,\bbomega)$ is a rough path defined by a Brownian motion on $\RR^m$. Under the usual regularity a…
Ergodic theory of Random Anosov systems mixing on fibers
Wen Huang, Zeng Lian, Kening Lu
In this paper, we study the complicated dynamics of Anosov systems driven by an external force in the context of geometric theory (an abundance of random periodic points and random…