A symbolic projection of Langtons AntReport as inadecuate

A symbolic projection of Langtons Ant - Download this document for free, or read online. Document in PDF available to download.

1 Universidad de Concepción Chile

Abstract : 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 $\Gammak,d$ 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.

Keywords : Symbolic Dynamics Lorentz Lattice Gas Cayley Graphs

Author: Anahi Gajardo -

Source: https://hal.archives-ouvertes.fr/


Related documents