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- W4377090717 abstract "We study the notion of an asymptotically automatic sequence, which generalises the notion of an automatic sequence. While $k$-automatic sequences are characterised by finiteness of $k$-kernels, the $k$-kernels of asymptotically $k$-automatic sequences are only required to be finite up to equality almost everywhere. We prove basic closure properties and a linear bound on asymptotic subword complexity, show that results concerning frequencies of symbols are no longer true for the asymptotic analogue, and discuss some classification problems." @default.
- W4377090717 created "2023-05-20" @default.
- W4377090717 creator A5034150465 @default.
- W4377090717 date "2023-05-16" @default.
- W4377090717 modified "2023-09-29" @default.
- W4377090717 title "On asymptotically automatic sequences" @default.
- W4377090717 doi "https://doi.org/10.48550/arxiv.2305.09885" @default.
- W4377090717 hasPublicationYear "2023" @default.
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