### 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
- 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.