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- W4225575503 abstract "We analyze the spatial asymptotic properties of the solution to the stochastic heat equation driven by an additive Lévy space-time white noise. For fixed time t>0 and space x∈Rd we determine the exact tail behavior of the solution both for light-tailed and for heavy-tailed Lévy jump measures. Based on these asymptotics we determine for any fixed time t>0 the almost-sure growth rate of the solution as |x|→∞." @default.
- W4225575503 created "2022-05-05" @default.
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- W4225575503 date "2022-01-01" @default.
- W4225575503 modified "2023-10-18" @default.
- W4225575503 title "Extremes of the stochastic heat equation with additive Lévy noise" @default.
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- W4225575503 doi "https://doi.org/10.1214/22-ejp855" @default.
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