---

In this talk we will consider the density of states (DOS) of Wigner matrices on very small intervals. In such intervals, the fluctuations of the DOS are important and one cannot expect convergence to the semicircle law to hold in probability. Assuming the entries of the matrices to have a sufficiently regular law, we prove, nevertheless, that the average DOS still converges to the semicircle law, on arbitrarily small intervals.

---

Benjamin Schlein, Hausdorff-Zentrum für Mathematik, Bonn
Seminarraum Theoretische Physik
Contact: not specified