Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Kolakoski-(3,1) is a (deformed) model set   Unlike the (classical) Kolakoski sequence on the alphabet {1,2}, its analogue
on {1,3} can be related to a primitive substitution rule. Using this
connection, we prove that the corresponding bi-infinite fixed point is a
regular generic model set and thus has a pure point diffraction spectrum. The
Kolakoski-(3,1) sequence is then obtained as a deformation, without loosing the
pure point diffraction property.

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The categories of this paper are: chem-ph
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The categories of this paper are: supr-con
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The categories of this paper are: alg-geom
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The categories of this paper are: mtrl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: cs
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The categories of this paper are: econ
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The categories of this paper are: stat
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The categories of this paper are: atom-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: nlin
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The categories of this paper are: dg-ga
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The categories of this paper are: funct-an
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The categories of this paper are: math-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: chao-dyn