Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extremes of the stochastic heat equation with additive L\'evy noise   We analyze the spatial asymptotic properties of the solution to the
stochastic heat equation driven by an additive L\'evy space-time white noise.
For fixed time $t > 0$ and space $x \in \mathbb{R}^d$ we determine the exact
tail behavior of the solution both for light-tailed and for heavy-tailed L\'evy
jump measures. Based on these asymptotics we determine for any fixed time $t>
0$ the almost-sure growth rate of the solution as $|x| \to \infty$.

33
The categories of this paper are: plasm-ph
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The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
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The categories of this paper are: solv-int
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The categories of this paper are: nlin
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
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The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph