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Durham University

Research & business

Research lectures, seminars and events

The events listed in this area are research seminars, workshops and lectures hosted by Durham University departments and research institutes. If you are not a member of the University, but  wish to enquire about attending one of the events please contact the organiser or host department.


 

Statistics Seminars: A robust initial scale estimate and localization at band edges of the Anderson model

Presented by Matthias Taeufer, Queen Mary University of London
14 November 2019 16:00 in CM107

We prove that Anderson localization near band edges of ergodic continuum
random Schroedinger operators with periodic background potential in in
dimension two and larger is universal.
In particular, Anderson localization holds without extra decay
assumptions on the random variables and independently of regularity or
degeneracy of the Floquet eigenvalues of the background operator.
Our approach is based on a robust initial scale estimate the proof of
which avoids Floquet theory altogether and uses instead an interplay
between quantitative unique continuation and large deviation estimates.
Furthermore, our reasoning is sufficiently flexible to prove this
initial scale estimate in a non-ergodic setting, which promises to be an
ingredient for understanding band edge localization also in these
situations.

Based on joint work with Albrecht Seelmann (TU Dortmund).

Contact georgios.karagiannis@durham.ac.uk or konstantinos.perrakis@durham.ac.uk for more information