Title:  Sub-Exponential Decay Estimates on Trace Norms of Localized Functions of Schrodinger Operators

Abstract:  In 1973, Combes and Thomas discovered a general technique for showing exponential decay of eigenfunctions. The technique involved proving the exponential decay of the resolvent of the Schrodinger operator localized between two distant regions. Since then, the technique has been applied to several types of Schrodinger operators. Recent work has also shown the Combes–Thomas method works well with trace class and Hilbert–Schmidt type operators. In this talk, we build on those results by applying the Combes–Thomas method in the trace, Hilbert–Schmidt, and other trace-type norms to prove sub-exponential decay estimates on functions of Schrodinger operators localized between two distant regions.

Come join others from Keeneland to watch the Oscars!  Formal wear is optional for those who want to dress up.  There will be a photo booth - and food as well. 

If you come to more than one night of the Oscars program you will receive a personalized Keeneland Oscar on Sunday night!

After the movie is shown, there will be a discussion about the diversity in the movie and how that relates to our lives here at UK.

There will be food at this event. Also, if you come to more than one night of the Oscars program you will receive a personalized Keeneland Oscar on Sunday night!

After the movie is shown, there will be a discussion about the diversity in the movie and how that relates to our lives here at UK.

There will be food at this event. Also, if you come to more than one night of the Oscars program you will receive a personalized Keeneland Oscar on Sunday night!

After the movie is shown, there will be a discussion about the diversity in the movie and how that relates to our lives here at UK.

There will be food at this event.  Also, if you come to more than one night of the Oscars program you will receive a personalized Keeneland Oscar on Sunday night!