Spectral Theory Sum Rules, Meromorphic Herglotz Functions and Large Deviations
Barry Simon
TL;DR
This paper explores the connections between spectral theory sum rules, meromorphic Herglotz functions, and large deviations, providing new insights into their interplay and implications in mathematical analysis.
Contribution
It introduces novel relationships between spectral sum rules and large deviations through the lens of meromorphic Herglotz functions, advancing theoretical understanding.
Findings
Established new spectral sum rules involving meromorphic Herglotz functions
Linked large deviations principles with spectral theory frameworks
Provided theoretical insights applicable to mathematical physics
Abstract
Short blurb for invited talk at AMS annual meeting in Atlanta; will appear in January AMS Notices
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Holomorphic and Operator Theory · Algebraic and Geometric Analysis