Wen Huang

activity

20082023

most citedLyapunov spectrum of asymptotically sub-additive potentials

145 citations · 376 across the 32 of their papers we have counts for

collaborators

Showing 2014Show all

8 papers · 1 filter

math.DS2014

Variational principle for weighted topological pressure

De-Jun Feng, Wen Huang

Let $π : X \to Y$ be a factor map, where $(X, T)$ and $(Y, S)$ are topological dynamical systems. Let $a = (a_{1}, a_{2}) \in R^{2}$ with $a_{1} > 0$ and $a_{2} \geq 0$ , and $f \in C (X)$ . Th…

math.DS2014★ 10 cited

Invariant scrambled sets, uniform rigidity and weak mixing

Magdalena Foryś, Wen Huang, Jian Li +1

We show that for a non-trivial transitive dynamical system, it has a dense Mycielski invariant strongly scrambled set if and only if it has a fixed point, and it has a dense Myciel…

math.DS2014★ 3 cited

Asymptotic pairs, stable sets and chaos in positive entropy systems

Wen Huang, Leiye Xu, Yingfei Yi

We consider positive entropy $G$ -systems for certain countable, discrete, infinite left-orderable amenable groups $G$ . By undertaking local analysis, the existence of asymptotic pa…

math.CA2014

Convergence to global equilibrium for Fokker-Planck equations on a graph and Talagrand-type inequalities

Rui Che, Wen Huang, Yao Li +1

In recent work, Chow, Huang, Li and Zhou introduced the study of Fokker-Planck equations for a free energy function defined on a finite graph. When $N \geq 2$ is the number of vertic…

math.DS2014★ 3 cited

Nil Bohr-sets and almost automorphy of higher order

Wen Huang, Song Shao, Xiangdong Ye

Two closely related topics: higher order Bohr sets and higher order almost automorphy are investigated in this paper. Both of them are related to nilsystems. In the first part, the…

math.DS2014

Affine embeddings and intersections of Cantor sets

De-Jun Feng, Wen Huang, Hui Rao

Let $E, F \subset R^{d}$ be two self-similar sets. Under mild conditions, we show that $F$ can be $C^{1}$ -embedded into $E$ if and only if it can be affinely embedded into $E$ ; further…

math.DS2014★ 26 cited

Pointwise convergence of multiple ergodic averages and strictly ergodic models

Wen Huang, Song Shao, Xiangdong Ye

By building some suitable strictly ergodic models, we prove that for an ergodic system $(X, X, μ, T)$ , $d \in N$ , $f_{1}, \dots, f_{d} \in L^{\infty} (μ)$ , the averages…

math.AP2014★ 33 cited

Integral identity and measure estimates for stationary Fokker-Planck equations

Wen Huang, Min Ji, Zhenxin Liu +1

We consider a Fokker-Planck equation in a general domain in $R^{n}$ with $L_{loc}^{p}$ drift term and $W_{loc}^{1, p}$ diffusion term for any $p > n$ . By deri…