König, Wolfgang 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]. Reviewer: Peter Mörters (Bath) Cited in 1 Document 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 Keywords:parabolic Anderson problem; intermittency; random environment; quenched asymptotics; heat equation with random potential; universality Citations:Zbl 1115.82030 PDFBibTeX XMLCite \textit{W. König}, in: 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). 283--298 (2007; Zbl 1154.60054)