Seminars and Colloquia by Series

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 ShamisQueen Mary University of London

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.

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