Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Random cyclations   Consider n unit intervals, say [1,2], [3,4], ..., [2n-1,2n]. Identify their
endpoints in pairs at random, with all (2n-1)!! = (2n-1) (2n-3) ... 3 1
pairings being equally likely. The result is a collection of cycles of various
lengths, and we investigate the distribution of these lengths. The distribution
is similar to that of the distribution of the lengths of cycles in a random
permutation, but it also exhibits some striking differences.

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The categories of this paper are: q-alg
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The categories of this paper are: hep-ex
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The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
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The categories of this paper are: acc-phys
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The categories of this paper are: q-fin
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The categories of this paper are: nlin
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The categories of this paper are: patt-sol
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The categories of this paper are: econ
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The categories of this paper are: mtrl-th
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The categories of this paper are: funct-an
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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: astro-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: dg-ga