Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotics of Pattern Avoidance in the Klazar Set Partition and
  Permutation-Tuple Settings   We consider asymptotics of set partition pattern avoidance in the sense of
Klazar. Our main result derives the asymptotics of the number of set partitions
avoiding a given set partition within an exponential factor, which leads to a
classification of possible growth rates of set partition pattern classes. We
further define a notion of permutation-tuple avoidance, which generalizes
notions of Aldred et al. and the usual permutation pattern setting, and
similarly determine the number of permutation-tuples avoiding a given tuple to
within an exponential factor.

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The categories of this paper are: quant-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: chem-ph
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
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The categories of this paper are: supr-con
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The categories of this paper are: gr-qc
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The categories of this paper are: econ
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The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
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The categories of this paper are: q-alg
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The categories of this paper are: astro-ph
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The categories of this paper are: adap-org
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The categories of this paper are: bayes-an