Weak and Almost Sure Limits for the Parabolic Anderson Model with Heavy Tailed Potentials
We study the parabolic Anderson problem, that is, the heat equation $\partial _{t}u=\Delta u+\xi u$ on $(0,\infty)\times {\Bbb Z}^{d}$ with independent identically distributed random potential $\{\xi (z)\colon z\in {\Bbb Z}^{d}\}$ and localized initial condition u(0, x) = 1₀(x). Our interest is in t...
| Veröffentlicht in: | The Annals of Applied Probability. - Institute of Mathematical Statistics. - 18(2008), 6, Seite 2450-2494 |
|---|---|
| 1. Verfasser: | |
| Weitere Verfasser: | , |
| Format: | Online-Aufsatz |
| Sprache: | English |
| Veröffentlicht: |
2008
|
| Zugriff auf das übergeordnete Werk: | The Annals of Applied Probability |
| Schlagworte: | Anderson Hamiltonian Parabolic Anderson problem Long term behavior Intermittency Localization Random environment Random potential Partial differential equations with random coefficients Heavy tails Extreme value theory mehr... |
| Online verfügbar |
Volltext |