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math.PR2022
Parabolic Anderson model on critical Galton-Watson trees in a Pareto environment
Eleanor Archer, Anne Pein
The parabolic Anderson model is the heat equation with some extra spatial randomness. In this paper we consider the parabolic Anderson model with i.i.d. Pareto potential on a criti…
math.PR2019
Random Attractors for Stochastic Partly Dissipative Systems
Christian Kuehn, Alexandra Neamtu, Anne Pein
We prove the existence of a global random attractor for a certain class of stochastic partly dissipative systems. These systems consist of a partial (PDE) and an ordinary different…