• Corpus ID: 250089335

Moment Intermittency in the PAM with Asymptotically Singular Noise

  title={Moment Intermittency in the PAM with Asymptotically Singular Noise},
  author={Pierre Yves Gaudreau Lamarre and Promit Ghosal and Yuchen Liao},
Let ξ be a singular Gaussian noise on R that is either white, fractional, or with the Riesz covariance kernel; in particular, there exists a scaling parameter ω > 0 such that cξ(c·) is equal in distribution to ξ for all c > 0. Let (ξε)ε>0 be a sequence of smooth mollifications such that ξε → ξ as ε → 0. We study the asymptotics of the moments of the parabolic Anderson model (PAM) with noise ξε as ε → 0, both for large (i.e., t → ∞) and fixed times t. This approach makes it possible to study the… 

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