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arXiv · 1207.5004

Path sets in one-sided symbolic dynamics

William Abram·Jeffrey C. Lagarias
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Abstract

Path sets are spaces of one-sided infinite symbol sequences associated to pointed graphs (G_v_0), which are edge-labeled directed graphs G with a distinguished vertex v_0. Such sets arise naturally as address labels in geometric fractal constructions and in other contexts. The resulting set of symbol sequences need not be closed under the one-sided shift. this paper establishes basic properties of the structure and symbolic dynamics of path sets, and shows they are a strict generalization of one-sided sofic shifts.

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William Abram, Jeffrey C. Lagarias. 2012-07-20. Path sets in one-sided symbolic dynamics. https://doi.org/10.1016/j.aam.2013.12.005

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