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Moment asymptotics for the parabolic Anderson problem with a perturbed lattice potential
Moment asymptotics parabolic Anderson problem perturbed lattice potential
2011/1/20
The parabolic Anderson problem with a random potential obtained by attaching a long tailed potential around a randomly perturbed lattice is studied.The moment asymptotics of the total mass of the solu...
The discrete-time parabolic Anderson model with heavy-tailed potential
Parabolic Anderson Model Directed Polymer Heavy Tailed Potential
2011/2/24
We consider a discrete-time version of the parabolic Anderson model. This may be described as a model for a directed (1+ d)-dimensional polymer interacting with a random potential, which is constant i...
A scaling limit theorem for the parabolic Anderson model with exponential potential
scaling limit theorem parabolic Anderson model exponential potential
2010/12/13
The parabolic Anderson problem is the Cauchy problem for the heat equation ¶tu(t, z) = D u(t, z)+x (t, z)u(t, z) on (0,¥)×Zd with random potential (x (t, z) : z ∈ Zd ) and localized initial c...