Mixing coded systems
Dawoud Ahmadi Dastjerdi, Maliheh Dabbaghian Amiri · Georgian Mathematical Journal · 2017
Abstract We show that a coded system is mixing if and only if it is totally transitive. If in addition it has a generator the length of whose elements are relatively prime, then it has strong property P. We continue by showing that a mixing half-synchronized system has such a generator. Moreover, we give an example of a mixing coded system which does not have any generator the length of whose elements are relatively prime.