Mixing coded systems

2015/07/29 by Dastjerdi, Dawoud Ahmadi, Amiri, Maliheh Dabbaghian
#37A25 #37B10 #54H20 #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1507.08048

Abstract

We show that a coded system is mixing if and only if it is totally transitive and if in addition it has a relatively prime generator, 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 relatively prime generator.

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