Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On subexponential tails for the maxima of negatively driven compound
  renewal and L\'evy processes   We study subexponential tail asymptotics for the distribution of the maximum
$M_t:=\sup_{u\in[0,t]}X_u$ of a process $X_t$ with negative drift for the
entire range of $t>0$. We consider compound renewal processes with linear drift
and L\'evy processes. For both we also formulate and prove the principle of a
single big jump for their maxima. The class of compound renewal processes
particularly includes Cram\'er-Lundberg risk process.

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The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex