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arXiv · 1304.0888

Is Every Irreducible Shift of Finite Type Flow Equivalent to a Renewal System?

Rune Johansen
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Abstract

Is every irreducible shift of finite type flow equivalent to a renewal system? For the first time, this variation of a classic problem formulated by Adler is investigated, and several partial results are obtained in an attempt to find the range of the Bowen--Franks invariant over the set of renewal systems of finite type. In particular, it is shown that the Bowen--Franks group is cyclic for every member of a class of renewal systems known to attain all entropies realised by shifts of finite type, and several classes of renewal systems with non--trivial values of the invariant are constructed.

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Rune Johansen. 2013-04-03. Is Every Irreducible Shift of Finite Type Flow Equivalent to a Renewal System?. https://arxiv.org/abs/1304.0888

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