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Chapitre D'ouvrage Année : 2021

Symbolic dynamics

Résumé

This chapter presents some of the links between automata theory and symbolic dynamics. The emphasis is on two particular points. The first one is the interplay between some particular classes of automata, such as local automata and results on embeddings of shifts of finite type. The second one is the connection between syntactic semigroups and the classification of sofic shifts up to conjugacy.

Dates et versions

hal-04494503 , version 1 (07-03-2024)

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Marie-Pierre Béal, Jean Berstel, Søren Eilers, Dominique Perrin. Symbolic dynamics. Jean-Éric Pin. Handbook of Automata Theory, 2 (1), EMS Press, pp.987-1030, 2021, ⟨10.4171/AUTOMATA-2/5⟩. ⟨hal-04494503⟩
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