Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: M-Ambiguity Sequences for Parikh Matrices and Their Periodicity
  Revisited   The introduction of Parikh matrices by Mateescu et al. in 2001 has sparked
numerous new investigations in the theory of formal languages by various
researchers, among whom is Serbanuta. Recently, a decade-old conjecture by
Serbanuta on the M-ambiguity of words was disproved, leading to new
possibilities in the study of such words. In this paper, we investigate how
selective repeated duplications of letters in a word affect the M-ambiguity of
the resulting words. The corresponding M-ambiguity of those words are then
presented in sequences, which we term as M-ambiguity sequences. We show that
nearly all patterns of M-ambiguity sequences are attainable. Finally, by
employing certain algebraic approach and some underlying theory in integer
programming, we show that repeated periodic duplications of letters of the same
type in a word results in an M-ambiguity sequence that is eventually periodic.

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The categories of this paper are: hep-lat
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The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th
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The categories of this paper are: cond-mat
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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: q-alg
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The categories of this paper are: supr-con
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The categories of this paper are: math-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: physics
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: cmp-lg