11 citations · 42 across the 41 of their papers we have counts for
41 papers
Veech's Theorem of acting freely on and Structure Theorem of a.a. flows
Xiongping Dai, Hailan Liang, Zhengyu Yin
Veech's Theorem claims that if is a locally compact\,(LC) Hausdorff topological group, then it may act freely on . We prove Veech's Theorem for being only…
On M-dynamics and Li-Yorke chaos of extensions of minimal dynamics
Xiongping Dai
Let be an extension of minimal compact metric flows such that . A subflow of is called an M-flow if…
On recurrence in zero-dimsnional locally compact flow with compactly generated phase group
Xiongping Dai
We define recurrence for a compactly generated para-topological group acting continuously on a locally compact Hausdorff space with , and then, show that if $\ove…
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…
Uniform positive recursion frequency of any minimal dynamical system on a compact space
Xiongping Dai
Using Gottschalk's notion\,---\,weakly locally almost periodic point, we show in this paper that if is a minimal continuous transformation of a compact Hau…
On transitivity dynamics of topological semiflows
Joseph Auslander, Xiongping Dai
Let , be a topological semiflow on a topological space with phase semigroup . We introduce and discuss in this paper various transit…