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Results tagged with symbolic-dynamics
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user 50174
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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Mixing coded systems and period of their graph presentations
In general no! Let $X=\{0,\,1\}^{\mathbb{Z}}$ be the full shift generated by $\{00,\,10,\,01,\,11\}$ and set $w=12$ and let $\sigma_{X'}$ be the shift map on $X'$. Then $N(w,\,w)=\{n: {\sigma}_{X'}^nw …
