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Communication Dans Un Congrès Année : 2023

Dill maps in the Weyl-like space associated to the Levenshtein distance

Résumé

The Weyl pseudo-metric is a shift-invariant pseudo-metric over the set of infinite sequences, that enjoys interesting properties and is suitable for studying the dynamics of cellular automata. It corresponds to the asymptotic behavior of the Hamming distance on longer and longer subwords. In this paper we characterize well-defined dill maps (which are a generalization of cellular automata and substitutions) in the Weyl space and the sliding Feldman-Katok space where the Hamming distance appearing in the Weyl pseudo-metrics is replaced by the Levenshtein distance.
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Dates et versions

hal-04180482 , version 1 (12-08-2023)

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Firas Ben Ramdhane, Pierre Guillon. Dill maps in the Weyl-like space associated to the Levenshtein distance. Automata 2023, IFIP Working Group 1.5, Aug 2023, Trieste (Italy), Italy. ⟨hal-04180482⟩
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