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- W2515230844 abstract "The Fischer, Krieger, and fiber product covers of sofic beta-shifts are constructed and used to show that every strictly sofic beta-shift is $2$-sofic. Flow invariants based on the covers are computed, and shown to only depend on an single integer easily determined from the $beta$-expansion of 1. It is shown that any beta-shift is flow equivalent to a beta-shift given by some $1< beta < 2$, and concrete constructions lead to further reductions of the flow classification problem. For each sofic beta-shift, there is an action of $mathbb Z/2mathbb Z$ on the edge shift given by the fiber product, and it is shown precisely when there exists a flow equivalence respecting these $mathbb Z/2mathbb Z$-actions. This opens a connection to ongoing efforts to classify general irreducible 2-sofic shifts via flow equivalences of reducible SFTs equipped with $mathbb Z/2mathbb Z$-actions." @default.
- W2515230844 created "2016-09-16" @default.
- W2515230844 creator A5077132443 @default.
- W2515230844 date "2015-04-20" @default.
- W2515230844 modified "2023-09-27" @default.
- W2515230844 title "Flow equivalence of sofic beta-shifts" @default.
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- W2515230844 hasPublicationYear "2015" @default.
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