Large Deviations and Sum Rules for Spectral Theory - A Pedagogical Approach
Probability
2016-12-02 v2
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 Szeg}o 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.
Cite
@article{arxiv.1608.01467,
title = {Large Deviations and Sum Rules for Spectral Theory - A Pedagogical Approach},
author = {Jonathan Breuer and Barry Simon and Ofer Zeitouni},
journal= {arXiv preprint arXiv:1608.01467},
year = {2016}
}
Comments
New version adds appendix with a detailed proof of the Killip-Nenciu theorem and includes minor corrections