Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Permutations avoiding a pattern of length three under Mallows
  distributions   We consider permutations avoiding a pattern of length three under the family
of Mallows distributions. In particular, for any pattern $\tau\in S_3-\{321\}$,
we obtain rather precise results on the asymptotic probability as $n\to\infty$
that a permutation $\sigma\in S_n$ under the Mallows distribution with
parameter $q\in(0,1)$ avoids the pattern. By a duality between the parameters
$q$ and $\frac1q$, we also obtain rather precise results on the above
probability for $q>1$ and any pattern $\tau\in S_3-\{123\}$.

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The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: adap-org
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat