… In this section, we formulate our results on the large-time asymptotics of the parabolic Anderson
model in the … We handle the annealed asymptotics of the total mass U(t) in Section 3.1, …

… the model and the relevant questions, enumerate our main questions in Sect. 1.3, explain
the fundamental phenomenon of intermittency heuristically in Sect. 1.4 and present the most …

… The following result is the crucial property of the continuous Gaussian fields which … the
parabolic Anderson problem. We denote by Ba(x,r) the closed ball of radius r centered at x in the …

… trap-free regions of optimal size and shape and to stay there for the remaining time. This …
In the present paper we continue the study of the parabolic Anderson problem (1.1) for …

… the long time behaviour of the parabolic Anderson model, the Cauchy problem for the heat
… These four universality classes depend on the upper tail of the potential distribution: (1) tails …

… , and the known criterion that identifies relevant islands does not seem to be optimal. In the
present paper, we study the parabolic Anderson model … For such distributions one expects the …

… Linearized Models of Chemical Kinetics We next discuss the relationship between the
parabolic problem (0.1) for the Anderson model and (linearized) problems of chemical kinetics. On …

… the strong sense, by identifying the almost sure upper envelope for the process of the time
remaining until the … for profile and growth rate of the solution of the parabolic Anderson model. …

… if the law of ξ(0) is nondegenerate, then the solution u … the present paper we study the
structure of the intermittent peaks for the special case where the law of ξ(0) is (in the vicinity of) the …

… We consider the parabolic Anderson model ∂ ∂ t v n = κ Δ n v n + ξ n v n on the n -… ,
turbulence and population dynamics, the last being one of the motivations of this article. PAM is also …