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Article
Almost sure asymptotics for the continuous parabolic Anderson model
We consider the parabolic Anderson problem ∂ t u = κΔu + ξ(x)u on ℝ+×ℝ d with initial condition u(0,x) = 1. Here κ > 0 is a diffusion constan...
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Article
Parabolic problems for the Anderson model
This is a continuation of our previous work [6] on the investigation of intermittency for the parabolic equation (∂/∂t)u=Hu on ℝ+×ℤ d associated with the Anderson Hamiltonian H...
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Article
Stationary parabolic Anderson model and intermittency
This paper is devoted to the analysis of the large time behavior of the solutions of the Anderson parabolic problem: $$\frac{{\partial u}}{{\p...