Upper bounds on quantum dynamics
- Series
- Math Physics Seminar
- Time
- Thursday, March 9, 2023 - 12:00 for 1 hour (actually 50 minutes)
- Location
- Skiles Room 005 ONLINE https://gatech.zoom.us/j/96285037913
- Speaker
- Mira Shamis – Queen Mary University of London – m.shamis@qmul.ac.uk
We shall discuss the quantum dynamics associated with ergodic
Schroedinger operators with singular continuous spectrum. Upper bounds
on the transport moments have been obtained for several classes of
one-dimensional operators, particularly, by Damanik--Tcheremchantsev,
Jitomirskaya--Liu, Jitomirskaya--Powell. We shall present a new method
which allows to recover most of the previous results and also to
obtain new results in one and higher dimensions. The input required to
apply the method is a large-deviation estimate on the Green function
at a single energy. Based on joint work with S. Sodin.
The talk will be online at https://gatech.zoom.us/j/96285037913