Symbolic dynamics
Formal Languages and Automata Theory
2011-02-08 v3 Discrete Mathematics
Dynamical Systems
Abstract
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.
Keywords
Cite
@article{arxiv.1006.1265,
title = {Symbolic dynamics},
author = {Marie-Pierre Béal and Jean Berstel and Søren Eilers and Dominique Perrin},
journal= {arXiv preprint arXiv:1006.1265},
year = {2011}
}
Comments
This text is part of a "Handbook on Automata" edited by Jean-Eric Pin, to be published by European Mathematical Society