Abstract
This is a pedagogical exposition of the large deviation approach to sum rules pioneered by Gamboa, Nagel and Rouault. We’ll explain how to use their ideas to recover the Szegő and Killip–Simon Theorems. The primary audience is spectral theorists and people working on orthogonal polynomials who have limited familiarity with the theory of large deviations.
| Original language | English |
|---|---|
| Pages (from-to) | 1551-1581 |
| Number of pages | 31 |
| Journal | Journal of Spectral Theory |
| Volume | 8 |
| Issue number | 4 |
| DOIs | |
| State | Published - 2018 |
Bibliographical note
Publisher Copyright:© European Mathematical Society
Keywords
- Large deviations
- Orthogonal polynomials
- Sum rules