Fluctuation of density of states for 1d Schr\"odinger operators
  We consider the 1d Schr\"odinger operator with random decaying potential and compute the 2nd term asymptotics of the density of states, which shows substantial differences between the cases $\alpha > \frac 12$, $\alpha < \frac 12$ and $\alpha = \frac 12$. 
Fumihiko Nakano
math-ph math.MP math.PR