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• W25495586 abstract "The parabolic Anderson model is the Cauchy problem for the heat equation with random potential. It offers a case study for the effects that a random, or irregular, environment can have on a diffusion process. The main focus in the present survey is on phenomena that are due to a highly irregular potential, which we model by a spatially independent, identically distributed random field with heavy tails. Among the effects we discuss are random fluctuations in the growth of the total mass, localisation in the weak and almost sure sense, and ageing." @default.
• W25495586 created "2016-06-24" @default.
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• W25495586 date "2011-08-10" @default.
• W25495586 modified "2023-09-25" @default.
• W25495586 title "The parabolic Anderson model with heavy-tailed potential" @default.
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