Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Series representations and asymptotic expansions for the density of the
  supremum of a stable process   We derive explicit asymptotic expansions of the density of the supremum of a
strictly stable process when the index $\alpha$ is not rational. In the case
when parameters $\alpha$ and $\rho=\p(X_1>0)$ satisfy $\rho+k=l/\alpha$ for
some integers $k,l \ge 1$ we prove that these asymptotic expansions are in fact
convergent series representations of the density of supremum.

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The categories of this paper are: cond-mat
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The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
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The categories of this paper are: eess
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
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The categories of this paper are: econ
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The categories of this paper are: math-ph
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The categories of this paper are: hep-th
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: dg-ga
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The categories of this paper are: patt-sol
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The categories of this paper are: mtrl-th