Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Emergence of order in random languages   We consider languages generated by weighted context-free grammars. It is
shown that the behaviour of large texts is controlled by saddle-point equations
for an appropriate generating function. We then consider ensembles of grammars,
in particular the Random Language Model of E. DeGiuli, Phys. Rev. Lett., 122,
128301, 2019. This model is solved in the replica-symmetric ansatz, which is
valid in the high-temperature, disordered phase. It is shown that in the phase
in which languages carry information, the replica symmetry must be broken.

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The categories of this paper are: astro-ph
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The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
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The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: physics
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-fin
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The categories of this paper are: acc-phys
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The categories of this paper are: nlin