A symbolic projection of Langton's Ant
2003 ◽
Vol DMTCS Proceedings vol. AB,...
(Proceedings)
◽
Keyword(s):
International audience The Langton's ant is studied from the point of view of topological dynamical systems. A new approach which associate a subshift to the system is proposed.The transition rule is generalized to the family of bi-regular graphs $\Gamma(k,d)$ and the dependence of the dynamical system on $k$ and $d$ is analyzed. A classification of the $\Gamma (k,d)$ graphs based on the dynamical properties of the subshift is established. Also a hierarchy is defined on the graphs through the subset relation of the respective subshifts. The analysis are worked out by establishing an algebraic characterization of the forbidden words of the subshift.
2004 ◽
Vol Vol. 6 no. 2
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Keyword(s):
Keyword(s):
2012 ◽
Vol 2
(4)
◽
pp. 12-20
2015 ◽
Vol 45
◽
pp. 81-97
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2018 ◽
Vol Épistémologies du pluriel
(Articles)
◽
Keyword(s):
2001 ◽
Vol 15
(1)
◽
pp. 1-13
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2019 ◽
Vol 29
(3)
◽
pp. 484-490