Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ascent sequences and upper triangular matrices containing non-negative
  integers   This paper presents a bijection between ascent sequences and upper triangular
matrices whose non-negative entries are such that all rows and columns contain
at least one non-zero entry. We show the equivalence of several natural
statistics on these structures under this bijection and prove that some of
these statistics are equidistributed. Several special classes of matrices are
shown to have simple formulations in terms of ascent sequences. Binary matrices
are shown to correspond to ascent sequences with no two adjacent entries the
same. Bidiagonal matrices are shown to be related to order-consecutive set
partitions and a simple condition on the ascent sequences generate this class.

29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
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The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn