Translations Making Chaos
陳中川 教授台中教育大學數學教育學系 下午 3:00–3:50 鴻經館 107 室摘要：
Chaos is regarded as a nonlinear phenomenon in general. However, in this talk, we will investigate linear translation operators on locally compact groups, and give the sufficient and necessary condition for such operators to be chaotic. In particular, we show that the density of periodic points of a weighted translation implies automatically hypercyclicity, which is one of the ingredients for a chaotic dynamic system. We also characterize topologically mixing translation operators.