Large deviations and sum rules for spectral theory: A pedagogical approach

Jonathan Breuer, Barry Simon, Ofer Zeitouni

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

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 languageAmerican English
Pages (from-to)1551-1581
Number of pages31
JournalJournal of Spectral Theory
Volume8
Issue number4
DOIs
StatePublished - 2018

Bibliographical note

Publisher Copyright:
© European Mathematical Society

Keywords

  • Large deviations
  • Orthogonal polynomials
  • Sum rules

Fingerprint

Dive into the research topics of 'Large deviations and sum rules for spectral theory: A pedagogical approach'. Together they form a unique fingerprint.

Cite this