Konferenzservice Mandl

Zusammenfassung: The goal of the program is to bring together the world leaders in spectral theory of random Schrödinger operators and theoretical physicists successfully working on the problem of Anderson localization. Among the topics that will be addressed during the program are: The nature of critical phenomena associated with localization-delocalization transitions; The existence and statistical properties of extended states for D > 2 and the behaviour in the critical dimension D = 2; Rigorous version of supersymmetric methods and of the nonlinear ?-model techniques; The localization-delocalization phenomena associated with the Integer Quantum Hall effect; Rigorous mathematical understanding of the relation between magnetic Schrödinger operators and network models, and the connection with quantum percolation; Localization in the presence of a random magnetic field; Behaviour of products of random matrices and associated Lyapunov exponents; Localization and delocalization in disordered systems characterised by non-selfadjoint operators; Dynamical localization in Quantum Chaotic systems; Localization in systems with aperiodic potential, as well as in models with correlated or long-ranged disorder; Localization in systems with nonlinearities, and localization-delocalization phenomena in disordered systems of interacting quantum particles.