115 citations · 746 across the 51 of their papers we have counts for
4 papers · 1 filter
Positive topological entropy and -weakly mixing sets
Wen Huang, Jian Li, Xiangdong Ye +1
The notion of -weakly mixing set is introduced, which shares similar properties of weakly mixing sets. It is shown that if a dynamical system has positive topological entropy, t…
Recent development of chaos theory in topological dynamics
Jian Li, Xiangdong Ye
We give a summary on the recent development of chaos theory in topological dynamics, focusing on Li-Yorke chaos, Devaney chaos, distributional chaos, positive topological entropy,…
Two results on entropy, chaos, and independence in symbolic dynamics
Fryderyk Falniowski, Marcin Kulczycki, Dominik Kwietniak +1
We survey the connections between entropy, chaos, and independence in topological dynamics. We present extensions of two classical results placing the following notions in the cont…
Multi-recurrence and van der Waerden systems
Dominik Kwietniak, Jian Li, Piotr Oprocha +1
We explore recurrence properties arising from dynamical approach to combinatorial problems like the van der Waerden Theorem. We describe relations between these properties, study t…