Xianqiang Li

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20242026

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math.DS2026

A Hard-Core Subshift Whose Sofic Mean Dimension Depends on the Sofic Approximation

Xianqiang Li, Zhuowei Liu

We exhibit a topologically mixing continuous-alphabet subshift of the free group $F_{2}$ whose sofic mean dimension depends on the chosen homomorphic sofic approximation, which gives…

math.DS2026

Equivalence of Sofic $p$ -Metric Mean Dimensions and a Tame-Metric Variational Formula

Xianqiang Li, Zhuowei Liu

Let $Γ$ be a countable discrete sofic group acting by homeomorphisms on a compact metrizable space $X$ and $Σ$ a sofic approximation of $Γ$ . We prove that for every $1\leq p<\infty…

A Hard-Core Subshift Whose Sofic Mean Dimension Depends on the Sofic Approximation

Equivalence of Sofic p-Metric Mean Dimensions and a Tame-Metric Variational Formula

Equivalence of Sofic $p$ -Metric Mean Dimensions and a Tame-Metric Variational Formula