Questions tagged [symbolic-dynamics]
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.
2 questions from the last 30 days
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A Collatz-like map?
Consider the map $\psi$ acting on triples $(a\leq b\leq c)$ of three positive natural integers with $\mathrm{gcd}(a,b,c)=1$ as follows:
Set $$(a',b',c')=\left(\frac{a}{\mathrm{gcd}(a,bc)},\frac{b}{\...
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Is the finite/countable union of topological Markov shifts a topological Markov shift?
A topological Markov shift (TMS), or countable state shift of finite type (SFT), is a shift space $X$ over a countably infinite alphabet $\mathcal{A}$ defined by a transition matrix $T=(t_{ij})_{\...
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