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 |
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Format: | Online-Aufsatz |
Sprache: | English |
Veröffentlicht: |
2008
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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... |
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