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

Jonathan Breuer; Barry Simon; Ofer Zeitouni

doi:10.4171/JST/235

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

Jonathan Breuer, Barry Simon, Ofer Zeitouni

The Hebrew University of Jerusalem, Weizmann Institute of Science

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	1551-1581
Number of pages	31
Journal	Journal of Spectral Theory
Volume	8
Issue number	4
DOIs	https://doi.org/10.4171/JST/235
State	Published - 22 Oct 2018

Keywords

Large deviations
Orthogonal polynomials
Sum rules

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics
Geometry and Topology

Access to Document

10.4171/JST/235

http://arxiv.org/pdf/1608.01467License: Unspecified

Cite this

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title = "Large deviations and sum rules for spectral theory: A pedagogical approach",

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AB - 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.

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

Abstract

Keywords

All Science Journal Classification (ASJC) codes

Access to Document

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