Hailan Liang

collaborators

2 papers

math.DS2023

Veech's Theorem of $G$ acting freely on $G^{LUC}$ and Structure Theorem of a.a. flows

Xiongping Dai, Hailan Liang, Zhengyu Yin

Veech's Theorem claims that if $G$ is a locally compact\,(LC) Hausdorff topological group, then it may act freely on $G^{LUC}$ . We prove Veech's Theorem for $G$ being only…

math.DS2017

Szemeredi-type theorems for subsets of locally compact abelian groups of positive upper Banach density

Xiongping Dai, Hailan Liang, Xinjia Tang

By using ergodic theoretic techniques following Hillel Fürstenberg, we prove that measurable subsets of a locally compact abelian group of positive upper density contain Szemerédi-…

Veech's Theorem of G acting freely on GLUC and Structure Theorem of a.a. flows

Szemeredi-type theorems for subsets of locally compact abelian groups of positive upper Banach density

Veech's Theorem of $G$ acting freely on $G^{LUC}$ and Structure Theorem of a.a. flows