Sets of non-Lyapunov behaviour for transfer matrices of Schroedinger operators

Math Physics Seminar
Thursday, February 2, 2023 - 3:30pm for 1 hour (actually 50 minutes)
ONLINE and Skiles room 005
Sasha Sodin – Queen Mary University of London –
Michael Loss

We shall discuss the asymptotics of singular values of the transfer matrices of ergodic Schroedinger and block-Schroedinger  operators. At a fixed value of the spectral parameter, the logarithmic asymptotics is almost surely given by the Lyapunov exponents; however, this is not, in general, true simultaneously for all the values of the parameter.  We shall try to explain the importance of these sets in various problems of spectral theory, and then review some of the earlier works on the subject and present some new results. Based on joint work with I. Goldsheid.

This talk will be online.  Meeting ID: 919 5236 6315.  Pleas note the unusual time!