7 citations · 15 across the 7 of their papers we have counts for
7 papers
Unique Ergodicity for the Projective Process of the 2D Navier--Stokes Equation with Nondegenerate Noise
Zeng Lian, Rongchang Liu, Kening Lu
We prove unique ergodicity of the projective process associated with the two dimensional Navier--Stokes equation in vorticity form, with additive diagonal noise acting on every non…
Ergodic optimization theory for Axiom A flows
Wen Huang, Zeng Lian, Xiao Ma +2
In this article, we consider the weighted ergodic optimization problem Axiom A attractors of a flow on a compact smooth manifold. The main result obtained in this paper is th…
Local stable and unstable sets for positive entropy dynamical systems
Shilin Feng, Rui Gao, Wen Huang +1
For any diffeomorphism on a smooth compact Riemannian manifold that admits an ergodic measure with positive entropy, a lower bound of the Hausdorff dimension for the local st…
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…
On random linear dynamical systems in a Banach space. I. Multiplicative Ergodic Theorem and Krein-Rutmann type Theorems
Zeng Lian, Yi Wang
For linear random dynamical systems in a separable Banach space , we derived a series of Krein-Rutman type Theorems with respect to co-invariant cone family with rank-, which…