4 papers
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…
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…
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…