Analysis and PDEs: Leonid Parnovski (London) - Local Density of states and the spectral function for almost periodic operators

I will discuss the asymptotic behaviour (both on and off the diagonal) of the spectral function of a Schroedinger operator with smooth bounded potential when energy becomes large. I formulate the conjecture that the local density of states (i.e. the spectral function on the diagonal) admits the complete asymptotic expansion and discuss the known results, mostly for almost-periodic potentials.

Date: 

Thu, 09/03/2017 - 13:00 to 14:00

Location: 

Ross 70