Level spacing for the continuum Anderson model and applications
Date:
Thursday, December 14, 2017 16:00 - 18:00
Speaker:
Adrian Dietlein (LMU, Munich)
Location:
Big Seminar room Ground floor / Office Bldg West (I21.EG.101)
Series:
Mathematics and CS Seminar
Host:
Laszlo Erdös
Contact:
DE ANTONI Jessica
We'll start with a short recap of the lattice Anderson model, with a focus on Minami's estimate and its applications. In particular it implies that, with high probability, the eigenvalues of the Anderson model are well-spaced. In the bulk of the talk i then describe a new approach towards such a level-spacing estimate which is more flexible than known methods.In particular it works for the continuum Anderson model. If the single-site probability distributions are sufficiently regular, then a Minami-type estimate can be obtained from such a level-spacing estimate.The talk is based on joint work with Alexander Elgart.