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

32 papers

math.DS2023★ 3 cited

Polynomial Furstenberg joinings and its applications

Wen Huang, Song Shao, Xiangdong Ye

In this paper, a polynomial version of Furstenberg joining is introduced and its structure is investigated. Particularly, it is shown that if all polynomials are non-linear, then a…

math.DS2023★ 2 cited

Topological dynamical systems induced by polynomials and combinatorial consequences

Wen Huang, Song Shao, Xiangdong Ye

Let $d \in N$ and $p_{i}$ be an integral polynomial with $p_{i} (0) = 0$ , $1 \leq i \leq d$ . It is shown that if $S$ is piecewise syndetic in $Z$ , then $$\{(m,n)\in{\mathbb Z…

math.DS2023★ 1 cited

A counterexample on polynomial multiple convergence without commutativity

Wen Huang, Song Shao, Xiangdong Ye

It is shown that for polynomials $p_{1}, p_{2} \in Z [t]$ with $deg p_{1}, deg p_{2} \geq 5$ there exist a probability space $(X, X, μ)$ , two ergodic measure…

math.DS2020★ 10 cited

Positive entropy implies chaos along any infinite sequence

Wen Huang, Jian Li, Xiangdong Ye

Let $G$ be an infinite countable discrete amenable group. For any $G$ -action on a compact metric space $(X, ρ)$ , it turns out that if the action has positive topological entropy, th…

math.DS2016★ 7 cited

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…

math.DS2016★ 1 cited

Almost sure convergence of the multiple ergodic average for certain weakly mixing systems

Yonatan Gutman, Wen Huang, Song Shao +1

The family of pairwise independently determined (PID) systems, i.e. those for which the independent joining is the only self joining with independent 2-marginals, is a class of sys…

math.DS2016★ 3 cited

Concentration and limit behaviors of stationary measures

Wen Huang, Min Ji, Zhenxin Liu +1

In this paper, we study limit behaviors of stationary measures of the Fokker-Planck equations associated with a system of ordinary differential equations perturbed by a class of mu…

math.DS2016★ 13 cited

Finite intersection property and dynamical compactness

Wen Huang, Danylo Khilko, Sergiy Kolyada +2

Dynamical compactness with respect to a family as a new concept of chaoticity of a dynamical system was introduced and discussed in [22]. In this paper we continue to investigate t…

math.DS2016★ 3 cited

Topological correspondence of multiple ergodic averages of nilpotent group actions

Wen Huang, Song Shao, Xiangdong Ye

Let $(X, Γ)$ be a topological system, where $Γ$ is a nilpotent group generated by $T_{1}, \dots, T_{d}$ such that for each $T \in Γ$ , $T \neq = e_{Γ}$ , $(X, T)$ is weakly mixing and minimal. F…

math.OA2015★ 4 cited

Sequences from zero entropy noncommutative toral automorphisms and Sarnak Conjecture

Wen Huang, Zhengxing Lian, Song Shao +1

In this paper we study $C^{*}$ -algebra version of Sarnak Conjecture for noncommutative toral automorphisms. Let $A_{Θ}$ be a noncommutative torus and $α_{Θ}$ be the noncommutative toral…

math.DS2015★ 4 cited

Analogues of Auslander-Yorke theorems for multi-sensitivity

Wen Huang, Sergii Kolyada, Guohua Zhang

In this paper we study multi-sensitivity and thick sensitivity for continuous surjective selfmaps on compact metric spaces. We show that multi-sensitivity implies thick sensitivity…

math.DS2015

Dynamical compactness and sensitivity

Wen Huang, Danylo Khilko, Sergii Kolyada +1

To link the Auslander point dynamics property with topological transitivity, in this paper we introduce dynamically compact systems as a new concept of a chaotic dynamical system $…

math.DS2015★ 26 cited

Positive topological entropy and $Δ$ -weakly mixing sets

Wen Huang, Jian Li, Xiangdong Ye +1

The notion of $Δ$ -weakly mixing set is introduced, which shares similar properties of weakly mixing sets. It is shown that if a dynamical system has positive topological entropy, t…

math.DS2015★ 3 cited

Auslander-Yorke dichotomy theorem, multi-sensitivity and Lyapunov numbers

Wen Huang, Sergii Kolyada, Guohua Zhang

In this paper we study several stronger forms of sensitivity for continuous surjective selfmaps on compact metric spaces and relations between them. The main result of the paper st…

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…

math.DS2013★ 5 cited

Strictly ergodic models and the convergence of non-conventional pointwise ergodic averages

Wen Huang, Song Shao, Xiangdong Ye

The well-known Jewett-Krieger's Theorem states that each ergodic system has a strictly ergodic model. Strengthening the model by requiring that it is strictly ergodic under some gr…

math.DS2013★ 6 cited

Entropy dimension of measure preserving systems

Dou Dou, Wen Huang, Kyewon Koh Park

The notion of metric entropy dimension is introduced to measure the complexity of entropy zero dynamical systems. For measure preserving systems, we define entropy dimension via th…

Polynomial Furstenberg joinings and its applications

Topological dynamical systems induced by polynomials and combinatorial consequences

A counterexample on polynomial multiple convergence without commutativity

Positive entropy implies chaos along any infinite sequence

Ergodic theory of Random Anosov systems mixing on fibers

Almost sure convergence of the multiple ergodic average for certain weakly mixing systems

Concentration and limit behaviors of stationary measures

Finite intersection property and dynamical compactness

Topological correspondence of multiple ergodic averages of nilpotent group actions

Sequences from zero entropy noncommutative toral automorphisms and Sarnak Conjecture

Analogues of Auslander-Yorke theorems for multi-sensitivity

Dynamical compactness and sensitivity

Positive topological entropy and Δ-weakly mixing sets

Auslander-Yorke dichotomy theorem, multi-sensitivity and Lyapunov numbers

Variational principle for weighted topological pressure

Invariant scrambled sets, uniform rigidity and weak mixing

Asymptotic pairs, stable sets and chaos in positive entropy systems

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

Nil Bohr-sets and almost automorphy of higher order

Affine embeddings and intersections of Cantor sets

Pointwise convergence of multiple ergodic averages and strictly ergodic models

Integral identity and measure estimates for stationary Fokker-Planck equations

Strictly ergodic models and the convergence of non-conventional pointwise ergodic averages

Entropy dimension of measure preserving systems

Positive topological entropy and $Δ$ -weakly mixing sets