Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Restricted growth function patterns and statistics   A restricted growth function (RGF) of length n is a sequence w = w_1 w_2 ...
w_n of positive integers such that w_1 = 1 and w_i is at most 1 + max{w_1,...,
w_{i-1}} for i at least 2. RGFs are of interest because they are in natural
bijection with set partitions of {1, 2, ..., n}. RGF w avoids RGF v if there is
no subword of w which standardizes to v. We study the generating functions
sum_{w in R_n(v)} q^{st(w)} where R_n(v) is the set of RGFs of length n which
avoid v and st(w) is any of the four fundamental statistics on RGFs defined by
Wachs and White. These generating functions exhibit interesting connections
with integer partitions and two-colored Motzkin paths, as well as noncrossing
and nonnesting set partitions.

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The categories of this paper are: cond-mat
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The categories of this paper are: acc-phys
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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: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: q-bio
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The categories of this paper are: astro-ph
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The categories of this paper are: physics
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The categories of this paper are: alg-geom
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: chao-dyn
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The categories of this paper are: supr-con
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The categories of this paper are: quant-ph