Intermittency in a catalytic random medium

@inproceedings{Gartner2004IntermittencyIA,
  title={Intermittency in a catalytic random medium},
  author={Jeffrey W. Gartner and Frank den Hollander},
  year={2004}
}
In this paper, we study intermittency for the parabolic Anderson equation ∂u/∂t=κΔu+ξu, where u:ℤd×[0, ∞)→ℝ, κ is the diffusion constant, Δ is the discrete Laplacian and ξ:ℤd×[0, ∞)→ℝ is a space-time random medium. We focus on the case where ξ is γ times the random medium that is obtained by running independent simple random walks with diffusion constant ρ starting from a Poisson random field with intensity ν. Throughout the paper, we assume that κ, γ, ρ, ν∈(0, ∞). The solution of the equation… CONTINUE READING

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