121 citations · 149 across the 15 of their papers we have counts for
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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…
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…
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…
Existence of SRB Measures for A Class of Partially Hyperbolic Attractors in Banach spaces
Zeng Lian, Peidong Liu, Kening Lu
In this paper, we study the existence of SRB measures for infinite dimensional dynamical systems in a Banach space. We show that if the system has a partially hyperbolic attractor…
SRB Measures for A Class of Partially Hyperbolic Attractors in Hilbert spaces
Zeng Lian, Peidong Liu, Kening Lu
In this paper, we study the existence of SRB measures and their properties for infinite dimensional dynamical systems in a Hilbert space. We show several results including (i) if t…
Random dynamical systems for stochastic evolution equations driven by multiplicative fractional Brownian noise with Hurst parameters
María J. Garrido-Atienza, Björn Schmalfuss, Kening Lu
We consider the stochastic evolution equation in a separable Hilbert--space . Here is supposed to be three times Fréchet--differentiable an…