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Embedding Bratteli-Vershik systems in cellular automata
[article]
2007
arXiv
pre-print
Many dynamical systems can be naturally represented as 'Bratteli-Vershik' (or 'adic') systems, which provide an appealing combinatorial description of their dynamics. If an adic system X satisfies two technical conditions ('focus' and 'bounded width') then we show how to represent X using a two-dimensional subshift of finite type Y; each 'row' in a Y-admissible configuration corresponds to an infinite path in the Bratteli diagram of X, and the vertical shift on Y corresponds to the 'successor'
arXiv:0710.3608v1
fatcat:hs3qjnfhzrhodo26zjopj6rq6m