Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fluctuation theory for upwards skip-free L\'evy chains   A fluctuation theory and, in particular, a theory of scale functions is
developed for upwards skip-free L\'evy chains, i.e. for right-continuous random
walks embedded into continuous time as compound Poisson processes. This is done
by analogy to the spectrally negative class of L\'evy processes -- several
results, however, can be made more explicit/exhaustive in our compound Poisson
setting. In particular, the scale functions admit a linear recursion, of
constant order when the support of the jump measure is bounded, by means of
which they can be calculated -- some examples are considered.

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The categories of this paper are: nucl-ex
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The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
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The categories of this paper are: funct-an
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The categories of this paper are: dg-ga
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The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
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The categories of this paper are: cs
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The categories of this paper are: hep-lat
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
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The categories of this paper are: mtrl-th
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The categories of this paper are: supr-con