Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gumbel and Fr\'echet convergence of the maxima of independent random
  walks   We consider point process convergence for sequences of iid random walks. The
objective is to derive asymptotic theory for the largest extremes of these
random walks. We show convergence of the maximum random walk to the Gumbel or
the Fr\'echet distributions. The proofs heavily depend on precise large
deviation results for sums of independent random variables with a finite moment
generating function or with a subexponential distribution.

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The categories of this paper are: plasm-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: chao-dyn
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The categories of this paper are: cs
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The categories of this paper are: supr-con
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The categories of this paper are: nlin
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The categories of this paper are: hep-ph
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The categories of this paper are: eess
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The categories of this paper are: dg-ga
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The categories of this paper are: adap-org
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: physics
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The categories of this paper are: alg-geom
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The categories of this paper are: q-fin
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The categories of this paper are: stat