Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bratteli-Vershik representations of some one-sided substitution
  subshifts   We study one-sided substitution subshifts, and how they can be represented
using Bratteli-Vershik systems. In particular we focus on minimal recognizable
substitutions such that the generated one-sided substitution subshift contains
only one non-shift-invertible element (a branch point), and we call these
substitutions quasi-invertible. We give an algorithm to check whether a
substitution is quasi-invertible, and show that any substitution with a
rational Perron value is orbit equivalent to a quasi-invertible substitution.
If the quasi-invertible substitution is left proper, then its subshift is equal
to a substitution subshift where the original branch point is the new
substitution fixed point. We use these results to prove that any reasonable
quasi-invertible substitution subshift has a Bratteli-Vershik representation.
We also give an example of a pair of substitutions whose 2-sided subshifts are
topologically conjugate, while their 1-sided subshifts are not.

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The categories of this paper are: hep-ex
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The categories of this paper are: hep-th
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The categories of this paper are: q-bio
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The categories of this paper are: chem-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg
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The categories of this paper are: econ
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The categories of this paper are: quant-ph
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The categories of this paper are: funct-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ph
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The categories of this paper are: cs
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The categories of this paper are: nlin
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The categories of this paper are: physics
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The categories of this paper are: eess