1 citations · 1 across the 4 of their papers we have counts for
4 papers
math.DS2022
On recurrence in zero-dimensional locally compact flow with compactly generated phase group
Xiongping Dai
Let be a zero-dimensional locally compact Hausdorff space not necessarily metric and a compactly generated topological group not necessarily abelian or countable. We define…
math.DS2015★ 1 cited
Chaotic dynamics of continuous-time topological semi-flows on Polish spaces
Xiongping Dai
In this paper, we study the chaotic dynamics of a continuous-time topological semi-flow on a Polish space.
math.DS2014
Criterion for quasi-anosovian diffeomorphisms of closed manifolds
Xiongping Dai
Quasi-Anosov diffeomorphism is a kind of important dynamical system due to R. Mane 1970s. In this paper, we present a criterion for such dynamics using ergodic theory.
math.DS2012
On -class local diffeomorphisms whose periodic points are nonuniformly expanding
Xiongping Dai
Using a sifting-shadowing combination, we prove in this paper that an arbitrary -class local diffeomorphism of a closed manifold is uniformly expanding on t…