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Symbolic dynamics is the study of dynamical systems defined in terms of shift transformations on spaces of sequences. Examples of topics in this area include shifts of finite type, sofic shifts, Toeplitz shifts, Markov partitions and symbolic coding of dynamical systems.
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Ferenczi: minimal, uniquely ergodic, sublinear complexity systems are not strongly mixing
I know how to prove something similar that I learned from an argument of A. Katok in his 1980 paper Interval exchange transformations and some special flows are not mixing. But you need to assume that …