Abstract
For a class of random band matrices of band width W, we prove regularity of the average spectral measure at scales ∈ ≥ W-0.99, and find its asymptotics at these scales.
| Original language | English |
|---|---|
| Pages (from-to) | 46-59 |
| Number of pages | 14 |
| Journal | Journal of Statistical Physics |
| Volume | 144 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jul 2011 |
| Externally published | Yes |
Keywords
- Density of states
- Perturbation series
- Random band matrices
- Wegner estimate