ICTS

The talk will focus on two different properties of the spectrum for  Anderson type operator. 

The first half of the talk will deal with global upper and lower bound  on the multiplicity of the singular spectrum.

As a consequence of the method involved, it will become clear that under certain circumstances the result holds true locally also.

The second part of the talk will involve studying the local eigenvalue statistics in the essential spectrum (even in the region where the density of states is zero) for non-ergodic Anderson operator.