From the 1 of 8 linked papers with an AI index.
8 papers
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…
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 $…
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…