The parabolic Anderson model with heavy-tailed potential
Morters, P., 2011. The parabolic Anderson model with heavy-tailed potential. In: Surveys in Stochastic Processes. European Mathematical Society, pp. 67-85. (EMS Series of Congress Report)
Related documents:This repository does not currently have the full-text of this item.
You may be able to access a copy if URLs are provided below.
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.
|Item Type||Book Sections|
|Departments||Faculty of Science > Mathematical Sciences|
|Research Centres||Bath Institute for Complex Systems (BICS)|
Actions (login required)