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Einladung zum Vortrag (Zoom) von Herrn Dr. Matthias Täufer am 28.10.2020 - 14:30 Uhr im Rahmen des Forschungsseminars Analysis

[28.10.2020]

Sehr geehrte Damen und Herren,

im Rahmen des Forschungsseminars Analysis hält am Mittwoch, den 28. Oktober 2020, um 14:30 Uhr,

Herr Dr. Matthias Täufer (FernUniversität in Hagen)

einen Vortrag zum Thema:

A robust initial scale estimate and localization at band edges of the continuum Anderson model.

Abstract:

We prove that Anderson localization near band edges of ergodic continuum random Schrödinger operators with periodic background potential in in dimensions 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.

The talk is based on joint work with Albrecht Seelmann (TU Dortmund).

Der Vortrag findet im Rahmen eines Zoom-Meetings statt. Bei Interesse an den Zugangsdaten bitte bei Herrn Prof. Mugnolo (delio.mugnolo@fernuni-hagen.de) melden.

mathinf.webteam | 26.10.2020