Intermittency for the parabolic Anderson model on spaces with sub-Gaussian heat kernel estimates
Year: 2026
Type: preprint
Abstract: We study the parabolic Anderson model $\partial_t u=Δu+βu\,\dot W_α$ on an unbounded Ahlfors $d_h$-regular Dirichlet metric measure space whose heat kernel satisfies two-sided sub-Gaussian estimates with walk dimension $d_w$. The noise is white in time and, in space, either white ($α=0$) or colored through the Riesz kernel of $(-Δ)^{-2α}$, where $0\le 2α
Source: arXiv (Cornell University)
Institution: Aarhus University
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7222133254