| Título: | Time Correlations for the Parabolic Anderson Model |
| Autores: |
Gärtner, Jürgen; Technische Universität Berlin Schnitzler, Adrian; Technische Universität Berlin |
| Fecha: | 2011-01-01 |
| Publicador: | Electronic journal of probability |
| Fuente: |
 |
| Tipo: |
Peer-reviewed Article |
| Tema: |
Parabolic Anderson model; Anderson Hamiltonian; random potential; time correlations; annealed asymptotics; intermittency; ageing Primary 60K37, 82C44; Secondary 60H25 |
| Descripción: | We derive exact asymptotics of time correlation functions for the parabolic Anderson model with homogeneous initial condition and time-independent tails that decay more slowly than those of a double exponential distribution and have a finite cumulant generating function. We use these results to give precise asymptotics for statistical moments of positive order. Furthermore, we show what the potential peaks that contribute to the intermittency picture look like and how they are distributed in space. We also investigate for how long intermittency peaks remain relevant in terms of ageing properties of the model. |
| Idioma: | No aplica |
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