Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Counting the occurrences of generalized patterns in words generated by a
  morphism   We count the number of occurrences of certain patterns in given words. We
choose these words to be the set of all finite approximations of a sequence
generated by a morphism with certain restrictions. The patterns in our
considerations are either classical patterns 1-2, 2-1, 1-1-...-1, or arbitrary
generalized patterns without internal dashes, in which repetitions of letters
are allowed. In particular, we find the number of occurrences of the patterns
1-2, 2-1, 12, 21, 123 and 1-1-...-1 in the words obtained by iterations of the
morphism 1->123, 2->13, 3->2, which is a classical example of a morphism
generating a nonrepetitive sequence.

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The categories of this paper are: nlin
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-lat
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The categories of this paper are: atom-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-alg
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The categories of this paper are: q-fin
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The categories of this paper are: gr-qc
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The categories of this paper are: quant-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: mtrl-th
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The categories of this paper are: cs
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The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ex