| 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
Γ(k,d)
and the dependence of the dynamical system on
k
and
d
is analyzed. A classification of the
Γ(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.
|
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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 |
| bibtex: | For a corresponding BibTeX entry, please consider our BibTeX-file. |
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| pdf-source: | dmAB0105.pdf (400 K) |
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