Upper bounds on quantum dynamics

Math Physics Seminar
Thursday, March 9, 2023 - 12:00pm for 1 hour (actually 50 minutes)
Skiles Room 005 ONLINE https://gatech.zoom.us/j/96285037913
Mira Shamis – Queen Mary University of London – m.shamis@qmul.ac.ukhttps://www.qmul.ac.uk/maths/profiles/shamiss.html
Michael Loss

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