7 papers
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…
Rigidity of Generalized Furstenberg Boundaries and Applications to Intermediate Crossed Products
Tattwamasi Amrutam, Chunlin Liu
We develop a relative boundary theory for actions of discrete groups on compact spaces and use it to derive rigidity results for reduced crossed products. For a discrete group …
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 $…
A note on multivariate diam mean equicontinuity and frequent stability
Lino Haupt, Tobias Jäger, Chunlin Liu
Let be a topological dynamical system, given by the action of a is a countable discrete infinite group on a compact metric space . We prove that if is minimal, t…
The Interplay between Additive and Multiplicative Central Sets Theorems
Pintu Debnath, Sayan Goswami, Chunlin Liu
The concept of Central sets, introduced by Furstenberg through the framework of topological dynamics, has played a pivotal role in combinatorial number theory. Furstenberg's Centra…
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…