Zobrazeno 1 - 10
of 202
pro vyhledávání: '"Dai, Xiongping"'
Autor:
Dai, Xiongping, Xie, Yuxun
Let $f\colon X\rightarrow Y$ be a continuous surjection of compact Hausdorff spaces. By $$f_*\colon\mathfrak{M}(X)\rightarrow\mathfrak{M}(Y),\ \mu\mapsto \mu\circ f^{-1} \quad{\rm and}\quad 2^f\colon2^X\rightarrow2^Y,\ A\mapsto f[A]$$ we denote the i
Externí odkaz:
http://arxiv.org/abs/2404.12727
Autor:
Dai, Xiongping
Let $H$ be a subnormal co-compact closed subgroup of a Hausdorff topological group $T$ and $X$ a compact Hausdorff space. We prove the inheritance theorem: A point of $X$ is almost periodic (a.p.) for $T\curvearrowright X$ iff it is a.p. for $H\curve
Externí odkaz:
http://arxiv.org/abs/2404.03848
Veech's Theorem claims that if $G$ is a locally compact\,(LC) Hausdorff topological group, then it may act freely on $G^{\textrm{LUC}}$. We prove Veech's Theorem for $G$ being only locally quasi-totally bounded, not necessarily LC. And we show that t
Externí odkaz:
http://arxiv.org/abs/2307.06653
Autor:
Dai, Xiongping
Let $\pi\colon\mathscr{X}\rightarrow\mathscr{Y}$ be an extension of minimal compact metric flows such that $\texttt{R}_\pi\not=\Delta_X$. A subflow of $\texttt{R}_\pi$ is called an M-flow if it is T.T. and contains a dense set of a.p. points. In this
Externí odkaz:
http://arxiv.org/abs/2301.05441
Autor:
Dai, Xiongping
We define recurrence for a compactly generated para-topological group $G$ acting continuously on a locally compact Hausdorff space $X$ with $\dim X=0$, and then, show that if $\overline{Gx}$ is compact for all $x\in X$, the conditions (i) this dynami
Externí odkaz:
http://arxiv.org/abs/2207.11852
Autor:
Dai, Xiongping
Using Gottschalk's notion\,---\,weakly locally almost periodic point, we show in this paper that if $f\colon X\rightarrow X$ is a minimal continuous transformation of a compact Hausdorff space $X$ to itself, then for all entourage $\varepsilon$ of $X
Externí odkaz:
http://arxiv.org/abs/1806.09306
Autor:
Dai, Xiongping
Using McMahon pseudo-metrics, for any minimal semiflow admitting an invariant measure, we study the relationships between its equicontinuous structure relation, regionally proximal relation and Veech's relations; and characterize its weak-mixing. We
Externí odkaz:
http://arxiv.org/abs/1806.09305
Autor:
Auslander, Joseph, Dai, Xiongping
Let $T\times X\rightarrow X, (t,x)\mapsto tx$, be a topological semiflow on a topological space $X$ with phase semigroup $T$. We introduce and discuss in this paper various transitivity dynamics of $(T,X)$.
Comment: 16 pages
Comment: 16 pages
Externí odkaz:
http://arxiv.org/abs/1806.05816
Autor:
Dai, Xiongping
Let $(T,X)$ with phase mapping $(t,x)\mapsto tx$ be a semiflow on a compact $\textrm{T}_2$-space $X$ with phase semigroup $T$ such that $tX=X$ for each $t$ of $T$. An $x\in X$ is called an \textit{a.a. point} if $t_nx\to y, x_n^\prime\to x^\prime$ an
Externí odkaz:
http://arxiv.org/abs/1806.05811
Autor:
Dai, Xiongping
Let $\pi\colon T\times X\rightarrow X$ be a semiflow on a compact Hausdorff space $X$ with phase semigroup $T$. This paper provides us with some conditions under which \textsl{weakly almost periodic} is equivalent to \textsl{uniformly almost periodic
Externí odkaz:
http://arxiv.org/abs/1712.05582