12 citations · 19 across the 13 of their papers we have counts for
8 papers · 1 filter
Gromov-Hausdorff distances for dynamical systems
Nhan-Phu Chung
We study equivariant Gromov-Hausdorff distances for general continuous actions which are not necessarily isometric as Fukaya introduced. We prove that if an action is expansive and…
Divergence, Undistortion and Hölder Continuous Cocycle Superrigidity for Full Shifts
Nhan-Phu Chung, Yongle Jiang
In this article, we will prove a full topological version of Popa's measurable cocycle superrigidity theorem for full shifts. More precisely, we prove that every Hölder continuous…
Topological stability and pseudo-orbit tracing property of group actions
Nhan-Phu Chung, Keonhee Lee
In this note we extend the concept of topological stability from homeomorphisms to group actions on compact metric spaces, and prove that if an action of a finitely generated group…
Continuous Cocycle Superrigidity for Shifts and Groups with One End
Nhan-Phu Chung, Yongle Jiang
In this article, we prove that if a finitely generated group is not torsion then a necessary and sufficient condition for every full shift over has (continuous) cocycle sup…
Weak expansiveness for actions of sofic groups
Nhan-Phu Chung, Guo Hua Zhang
In this paper, we shall introduce -expansiveness and asymptotical -expansiveness for actions of sofic groups. By the definitions, each -expansive action of sofic groups is…
Some remarks on the entropy for algebraic actions of amenable groups
Nhan-Phu Chung, Andreas Thom
In this short note we study the entropy for algebraic actions of certain amenable groups. The possible values for this entropy are studied. Various fundamental results about certai…
Topological pressure and the variational principle for actions of sofic groups
Nhan-Phu Chung
In this paper, we introduce topological pressure for continuous actions of countable sofic groups on compact metrizable spaces. This generalizes the classical topological pressure…
Homoclinic groups, IE groups, and expansive algebraic actions
Nhan-Phu Chung, Hanfeng Li
We give algebraic characterizations for expansiveness of algebraic actions of countable groups. The notion of p-expansiveness is introduced for algebraic actions, and we show that…