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The parabolic Anderson model and its universality classes. (English) Zbl 1154.60054

Dawson, Donald A. (ed.) et al., Probability and mathematical physics. A volume in honor of Stanislav Molchanov. Proceedings of a conference in honor of Stanislav Molchanov’s 65th birthday, Montreal, Canada, June 27–July 1, 2005. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4089-4/pbk). CRM Proceedings and Lecture Notes 42, 283-298 (2007).
This paper contains a summary of the main results of [R. van der Hofstad, W. König and P. Mörters, Commun. Math. Phys. 267, No. 2, 307–353 (2006; Zbl 1115.82030)].
For the entire collection see [Zbl 1117.60002].

MSC:

60H25 Random operators and equations (aspects of stochastic analysis)
82C44 Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics
60F10 Large deviations
35B40 Asymptotic behavior of solutions to PDEs

Citations:

Zbl 1115.82030
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