Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Expected number of critical points of random holomorphic sections over
  complex projective space   We study the high dimensional asymptotics of the expected number of critical
points of a given Morse index of Gaussian random holomorphic sections over
complex projective space. We explicitly compute the exponential growth rate of
the expected number of critical points of the largest index and of diverging
indices at various rates as well as the exponential growth rate for the
expected number of critical points (regardless of index). We also compute the
distribution of the critical values for the expected number of critical points
of smallest index.

30
The categories of this paper are: q-alg
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The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
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The categories of this paper are: cs
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The categories of this paper are: q-fin
3
The categories of this paper are: physics
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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
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The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
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The categories of this paper are: econ
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The categories of this paper are: mtrl-th
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The categories of this paper are: funct-an
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The categories of this paper are: gr-qc