Flow-equivalence conjecture for irreducible shifts of finite type and renewal systems

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An irreducible shift of finite type (SFT) is an irreducible symbolic dynamical system defined by finitely many forbidden words, and a renewal system is a shift generated by concatenations of a finite collection of words. Flow-equivalence conjecture. Every irreducible SFT is flow equivalent to a renewal system. This is presented as an alternative conjectural resolution of Adler's question, alongside the conjecture that some irreducible SFT is not conjugate to any renewal system; the source gives no resolution.

References

Primary source

Rune Johansen, “On Flow Equivalence of Sofic Shifts”, arXiv:1210.3048 (2012).

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