Large deviations and sum rules for spectral theory: a pedagogical approach (Q1624170)

Summary: This is a pedagogical exposition of the large deviation approach to sum rules pioneered by \textit{F. Gamboa} et al. [J. Funct. Anal. 270, No. 2, 509--559 (2016; Zbl 1327.47028)]. 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.