2 papers
math.DS2017
Devaney chaos, Li-Yorke chaos, and multi-dimensional Li-Yorke chaos for topological dynamics
Xiongping Dai, Xinjia Tang
In this paper, we study various chaos of topological group or semigroup actions.
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-…