Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic enumeration of Minimal Automata   We determine the asymptotic proportion of minimal automata, within n-state
accessible deterministic complete automata over a k-letter alphabet, with the
uniform distribution over the possible transition structures, and a binomial
distribution over terminal states, with arbitrary parameter b. It turns out
that a fraction ~ 1-C(k,b) n^{-k+2} of automata is minimal, with C(k,b) a
function, explicitly determined, involving the solution of a transcendental
equation.

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The categories of this paper are: nlin
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
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The categories of this paper are: supr-con
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The categories of this paper are: hep-th
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The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
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The categories of this paper are: mtrl-th
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The categories of this paper are: eess
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The categories of this paper are: chem-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: math-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph