Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotics and statistics on Fishburn Matrices: dimension distribution
  and a conjecture of Stoimenow   We establish the asymptotic normality of the dimension of large-size random
Fishburn matrices by a complex-analytic approach. The corresponding dual
problem of size distribution under large dimension is also addressed and
follows a quadratic type normal limit law. These results represent the first of
their kind and solve two open questions raised in the combinatorial literature.
They are presented in a general framework where the entries of the Fishburn
matrices are not limited to binary or nonnegative integers. The analytic
saddle-point approach we apply, based on a powerful transformation for
$q$-series due to Andrews and Jel\'inek, is also useful in solving a conjecture
of Stoimenow in Vassiliev invariants.

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The categories of this paper are: quant-ph
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: stat
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The categories of this paper are: ao-sci
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The categories of this paper are: chem-ph
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The categories of this paper are: econ
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The categories of this paper are: hep-ph
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The categories of this paper are: cs
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn
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The categories of this paper are: cmp-lg
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The categories of this paper are: patt-sol