Chunlin Liu

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math.DS2026

Joint Point-Distality and structure theory for commuting actions

Eli Glasner, Chunlin Liu

Let $G$ and $H$ act commutatively and minimally on a compact metrizable space $X$ . We prove that if the two subactions are point-distal, equivalently HPI, then the action generated…

math.DS2026

Conditional Topomorphic Degree and Multivariate Mean Equicontinuity for Minimal Amenable Group Actions

Chunlin Liu

Let $G$ be a countably infinite discrete amenable group acting minimally on a compact metric space $X$ , and let $π : X \to X_{eq}$ be the maximal equicontinuous factor map. W…

math.DS2026

Li--Yorke Chaos Along Any Infinite Sequence: Relative Mixing, Sofic and Rokhlin Entropy

Chunlin Liu

Let $G$ be a countably infinite discrete group and let $π : (X, μ, G) \to (Y, ν, G)$ be a nontrivial relatively mixing extension, where $X$ is a compact metrizable $G$ -space. We prove that…

math.DS2026

The maximal mean equicontinuous factor via regional mean sensitivity

Till Hauser, Chunlin Liu

For actions of amenable groups, mean equicontinuity-a natural relaxation of equicontinuity obtained by averaging metrics along orbits-is well known to yield a maximal mean equicont…

math.DS2025

Idempotents in the Ellis semigroup of Floyd-Auslander systems

Gabriel Fuhrmann, Chunlin Liu

We study minimal idempotents $J^{min} (X)$ in the Ellis semigroup $E (X)$ associated with a Floyd-Auslander system $(X, T)$ . We show that $(X, T)$ is non-tame if and only if $…

math.DS2025

A note on multivariate diam mean equicontinuity and frequent stability

Lino Haupt, Tobias Jäger, Chunlin Liu

Let $(X, G)$ be a topological dynamical system, given by the action of a is a countable discrete infinite group on a compact metric space $X$ . We prove that if $(X, G)$ is minimal, t…