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- W4221148629 abstract "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 $|x| to infty$." @default.
- W4221148629 created "2022-04-03" @default.
- W4221148629 creator A5036655526 @default.
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- W4221148629 date "2022-03-11" @default.
- W4221148629 modified "2023-09-23" @default.
- W4221148629 title "Extremes of the stochastic heat equation with additive L'evy noise" @default.
- W4221148629 doi "https://doi.org/10.48550/arxiv.2203.06057" @default.
- W4221148629 hasPublicationYear "2022" @default.
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