1 citations · 2 across the 12 of their papers we have counts for
14 papers
Generic Sharp Shift Embedding for Amenable Group Actions with the Uniform Rokhlin Property and Comparison
Yonatan Gutman, Chunlin Liu
Naryshkin recently proved that a free action of a countably infinite discrete amenable group on a compact metrizable space with the uniform Rokhlin property and comparison…
Comparison and Almost Finiteness for Actions of Amenable Groups
Eli Glasner, Chunlin Liu
We prove that every action of a countably infinite discrete amenable group on a nonempty compact Hausdorff zero-dimensional space has dynamical comparison, without assuming minimal…
A Uniform Product-Difference Theorem for Dense Subsets of
Sayan Goswami, Chunlin Liu
We establish a uniform product-difference theorem for dense subsets of , which gives an affirmative answer to Problem~2 of Fish and, as consequences, to both parts of…
Joint Point-Distality and structure theory for commuting actions
Eli Glasner, Chunlin Liu
Let and act commutatively and minimally on a compact metrizable space . We prove that if the two subactions are point-distal, equivalently HPI, then the action generated…
Conditional Topomorphic Degree and Multivariate Mean Equicontinuity for Minimal Amenable Group Actions
Chunlin Liu
Let be a countably infinite discrete amenable group acting minimally on a compact metric space , and let be the maximal equicontinuous factor map. W…
Li--Yorke Chaos Along Any Infinite Sequence: Relative Mixing, Sofic and Rokhlin Entropy versus Naive 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 th…
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…
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.…
Ergodic measures in minimal group actions with finite topological sequence entropy
Chunlin Liu, Xiangtong Wang, Leiye Xu
Let be an infinite discrete countable group and be a minimal -system. In this paper, we prove the supremum of topological sequence entropy of is not less tha…