On the entropy of spacing shifts
报告人:班荣超教授, National Chengchi University 时间:2019年8月7日下午15:30
地点:行健楼665
邀请人:陈二才教授
摘要: Spacing shifts were introduced by Lau and Zame in 1973 to provide examples of maps that are topologically weakly mixing but not mixing. Recently, it has been shown that the shift possesses a rich variety of dynamical characteristics. However, the entropy formula for the general spacing shift is still unknown. Our result has two fold. First, we characterize whether a spacing shift is entropy minimal. Second, the entropy formulae of the additive and multiplicative spacing shifts are presented.