A Classification of $${\varvec{n}}$$n-Tuples of Commuting Shifts of Finite Multiplicity
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DOI: 10.1007/s00020-018-2449-3
Abstract: Let $$\mathbb {V}$$V denote an n-tuple of shifts of finite multiplicity, and denote by $${{\mathrm{Ann}}}(\mathbb {V})$$Ann(V) the ideal consisting of polynomials p in n complex variables such that $$p(\mathbb {V})=0$$p(V)=0. If $$\mathbb {W}$$W on $$\mathfrak… read more here.
Keywords: mathbb ann; shifts finite; ann mathbb; finite multiplicity ... See more keywords
Decidability of Irreducible Tree Shifts of Finite Type
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DOI: 10.1007/s10955-019-02407-z
Abstract: We reveal an algorithm for determining the complete prefix code irreducibility (CPC-irreducibility) of dyadic trees labeled by a finite alphabet. By introducing an extended directed graph representation of tree shift of finite type (TSFT), we… read more here.
Keywords: finite type; irreducible tree; shifts finite; decidability irreducible ... See more keywords
The expressiveness of quasiperiodic and minimal shifts of finite type
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DOI: 10.1017/etds.2019.112
Abstract: We study multidimensional minimal and quasiperiodic shifts of finite type. We prove for these classes several results that were previously known for the shifts of finite type in general, without restriction. We show that some… read more here.
Keywords: finite type; minimal quasiperiodic; shifts finite; quasiperiodic shifts ... See more keywords
Counting finite orbits for the flip systems of shifts of finite type
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DOI: 10.3934/dcds.2021046
Abstract: For a discrete system \begin{document}$ (X,T) $\end{document} , the flip system \begin{document}$ (X,T,F) $\end{document} can be regarded as the action of infinite dihedral group \begin{document}$ D_\infty $\end{document} on the space \begin{document}$ X $\end{document} . Under… read more here.
Keywords: shifts finite; document; end document; begin document ... See more keywords