Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Parikh Motivated Study on Repetitions in Words   We introduce the notion of general prints of a word, which is substantialized
by certain canonical decompositions, to study repetition in words. These
associated decompositions, when applied recursively on a word, result in what
we term as core prints of the word. The length of the path to attain a core
print of a general word is scrutinized. This paper also studies the class of
square-free ternary words with respect to the Parikh matrix mapping, which is
an extension of the classical Parikh mapping. It is shown that there are only
finitely many matrix-equivalence classes of ternary words such that all words
in each class are square-free. Finally, we employ square-free morphisms to
generate infinitely many pairs of square-free ternary words that share the same
Parikh matrix.

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The categories of this paper are: alg-geom
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: bayes-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: quant-ph
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The categories of this paper are: nlin
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The categories of this paper are: cond-mat
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
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The categories of this paper are: physics