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arXiv · 1608.01467

Large Deviations and Sum Rules for Spectral Theory - A Pedagogical Approach

Jonathan Breuer·Barry Simon·Ofer Zeitouni
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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.

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Jonathan Breuer, Barry Simon, Ofer Zeitouni. 2016-08-04. Large Deviations and Sum Rules for Spectral Theory - A Pedagogical Approach. https://arxiv.org/abs/1608.01467

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