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- W2159638245 abstract "For any subshift, define $F_X(n)$ to be the collection of distinct follower sets of words of length $n$ in $X$. Based on a similar result of the second and third authors, we conjecture that if there exists an $n$ for which $|F_X(n)| leq n$, then $X$ is sofic. In this paper, we prove several results related to this conjecture, including verifying it for $n leq 3$, proving that the conjecture is true for a large class of coded subshifts, and showing that if there exists $n$ for which $|F_X(n)| leq log_2(n+1)$, then $X$ is sofic." @default.
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- W2159638245 date "2016-01-01" @default.
- W2159638245 modified "2023-10-14" @default.
- W2159638245 title "Subshifts with slowly growing numbers of follower sets" @default.
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- W2159638245 doi "https://doi.org/10.1090/conm/678/13646" @default.
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