Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nestings of Matchings and Permutations and North Steps in PDSAWs   We present a simple bijective proof of the fact that matchings of [2n] with N
nestings are equinumerous to partially directed self avoiding walks confined to
the symmetric wedge defined by y=+-x, with n east steps and N north steps. A
very similar construction connects permutations with N nestings and PDSAWs
remaining below the x-axis, again with N north steps. Furthermore, both
bijections transport several combinatorially meaningful parameters.

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The categories of this paper are: hep-ph
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The categories of this paper are: funct-an
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The categories of this paper are: astro-ph
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The categories of this paper are: math-ph
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The categories of this paper are: econ
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: eess
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The categories of this paper are: cmp-lg
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The categories of this paper are: acc-phys
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The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
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The categories of this paper are: plasm-ph
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The categories of this paper are: bayes-an