arXiv:1608.01467 Abstract | arXiv Analytics

arXiv:1608.01467 [math.PR]Abstract References Reviews Resources

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

Jonathan Breuer, Barry Simon, Ofer Zeitouni

Published 2016-08-04Version 1

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.

Categories: math.PR

Subjects: 60F10, 35P05, 42C05

Keywords: sum rules, spectral theory, pedagogical approach, large deviation approach, orthogonal polynomials

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