Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Enumeration of Corners in Tree-like Tableaux   In this paper, we confirm conjectures of Laborde-Zubieta on the enumeration
of corners in tree-like tableaux and in symmetric tree-like tableaux. In the
process, we also enumerate corners in (type $B$) permutation tableaux and
(symmetric) alternative tableaux. The proof is based on Corteel and Nadeau's
bijection between permutation tableaux and permutations. It allows us to
interpret the number of corners as a statistic over permutations that is easier
to count. The type $B$ case uses the bijection of Corteel and Kim between type
$B$ permutation tableaux and signed permutations. Moreover, we give a bijection
between corners and runs of size 1 in permutations, which gives an alternative
proof of the enumeration of corners. Finally, we introduce conjectural
polynomial analogues of these enumerations, and explain the implications on the
PASEP.

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The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
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The categories of this paper are: solv-int
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The categories of this paper are: atom-ph
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The categories of this paper are: patt-sol
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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: eess
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The categories of this paper are: cmp-lg
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The categories of this paper are: physics
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The categories of this paper are: econ
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The categories of this paper are: math-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: gr-qc