Xiangtong Wang

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math.DS2026

Entropies of compact subsets and supported measures

Qiang Huo, Xiangtong Wang

Let $(X, T)$ be a topological dynamical system and $(M (X), T_{*})$ be its induced system. For a non-empty compact subset $K \subset X$ , we define $M (K)$ as the set of…

math.DS2024

Minimal subshifts of prescribed mean dimension over general alphabets

Xiangtong Wang, Hang Zhao

Let $G$ be a countable infinite amenable group, $K$ a finite-dimensional compact metrizable space, and $(K^{G}, σ)$ the full $G$ -shift on $K^{G}$ . For any $r \in [0, mdim (K^{G}, σ))$ ,…

math.DS2024★ 1 cited

Ergodic measures in minimal group actions with finite topological sequence entropy

Chunlin Liu, Xiangtong Wang, Leiye Xu

Let $G$ be an infinite discrete countable group and $(X, G)$ be a minimal $G$ -system. In this paper, we prove the supremum of topological sequence entropy of $(X, G)$ is not less tha…