DMTCS Proceedings, Discrete Models for Complex Systems, DMCS'03

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DMTCS Conference vol AB (2003), pp. 57-68


Discrete Models for Complex Systems, DMCS'03

Michel Morvan and Éric Rémila (eds.)

DMTCS Conference Volume AB (2003), pp. 57-68

author: Anahí Gajardo
title: A symbolic projection of Langton's Ant
keywords: Symbolic Dynamics, Lorentz Lattice Gas, Cayley Graphs
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
and the dependence of the dynamical system on
is analyzed. A classification of the
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.
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reference: Anahí Gajardo (2003), A symbolic projection of Langton's Ant, in Discrete Models for Complex Systems, DMCS'03, Michel Morvan and Éric Rémila (eds.), Discrete Mathematics and Theoretical Computer Science Proceedings AB, pp. 57-68
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