Speaker:
Krishna Maddaly
Institution:
Ashoka University, India
Time:
Tuesday, June 25, 2019 - 2:00pm to 2:59pm
Host:
Location:
RH 306
In this talk, a joint work with Dhriti Dolai and Anish Mallick, I will present a proof of smoothness of the density of states for Random Schrodinger operators in any dimension. We show that the integrated density of states is almost as smooth as the single site distribution of the random potential, in the region of exponential localisation. The proof relies on the fractional moment bounds on the operator kernels in such energy region.
Our proof also gives a part of the results for the Anderson type models proved by Abel Klein and collaborators more than thirty years ago.