Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Large N expansions and Painlev\'e hierarchies in the Hermitian matrix
  model   We present a method to characterize and compute the large N formal
asymptotics of regular and critical Hermitian matrix models with general even
potentials in the one-cut and two-cut cases. Our analysis is based on a method
to solve continuum limits of the discrete string equation which uses the
resolvent of the Lax operator of the underlying Toda hierarchy. This method
also leads to an explicit formulation, in terms of coupling constants and
critical parameters, of the members of the Painlev\'e I and Painlev\'e II
hierarchies associated with one-cut and two-cut critical models respectively.

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The categories of this paper are: bayes-an
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
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The categories of this paper are: comp-gas
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The categories of this paper are: dg-ga
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The categories of this paper are: quant-ph
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The categories of this paper are: patt-sol
1
The categories of this paper are: cs
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The categories of this paper are: stat
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys