From the 1 of 8 linked papers with an AI index.
6 papers · 1 filter
Conditional Topomorphic Degree and Multivariate Mean Equicontinuity for Minimal Amenable Group Actions
Chunlin Liu
The paper studies minimal actions of countable amenable groups on compact spaces, introducing the conditional topomorphic degree and showing it characterizes various notions of mea…
Li--Yorke Chaos Along Any Infinite Sequence: Relative Mixing, Sofic and Rokhlin Entropy
Chunlin Liu
Let be a countably infinite discrete group and let be a nontrivial relatively mixing extension, where is a compact metrizable -space. We prove t…
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…
Idempotents in the Ellis semigroup of Floyd-Auslander systems
Gabriel Fuhrmann, Chunlin Liu
We study minimal idempotents in the Ellis semigroup associated with a Floyd-Auslander system . We show that is non-tame if and only if $…
Independence and mean sensitivity in minimal systems under group actions
Chunlin Liu, Leiye Xu, Shuhao Zhang
In this paper, we mainly study the relation between regularity, independence and mean sensitivity for minimal systems. In the first part, we show that if a minimal system is incont…
Independence, sequence entropy and mean sensitivity for invariant measures
Chunlin Liu, Leiye Xu, Shuhao Zhang
We investigate the connections between independence, sequence entropy, and mean sensitivity for a measure preserving system under the action of a countable infinite discrete group.…