Alladi Ramakrishnan Hall

Phd Viva Exam ; Spectral Statistics for Anderson Model with Decaying Randomness and Singular Potentials.

Dhriti Ranjan Dolai

IMSc

In this talk I will present the works, done during my phd . We show that local spectral statistics of Anderson Model (with decaying random potentials) inside the a.c spectrum is the same as that of the free part. We also provide some bounds for the integrated density of states for this decaying model. We consider the model with i.i.d random potential whose single site distribution is Holder continuous and show that in the localized regime the eigenvalue statistics is Poisson.