Integral Operators in Random Matrix Theory

DOI10.1007/978-1-4419-9514-8_3zbMath1248.15032OpenAlexW55605909MaRDI QIDQ2908885

Harold Widom

Publication date: 29 August 2012

Published in: Random Matrices, Random Processes and Integrable Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4419-9514-8_3

zbMATH Keywords

tracedeterminantAiry kernelsine kerneltrace class operatorHilbert-Schmidt operatorPainlevé functions

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Linear operators defined by compactness properties (47B07) Integral operators (45P05) Random matrices (algebraic aspects) (15B52) Painlevé-type functions (33E17)

Related Items (1)

A Riemann-Hilbert approach to Fredholm determinants of Hankel composition operators: scalar-valued kernels

Cites Work

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• Differential equations for Dyson processes
• Notes on infinite determinants of Hilbert space operators
• Fredholm determinants, differential equations and matrix models
• Correlation functions, cluster functions, and spacing distributions for random matrices
• The spectrum edge of random matrix ensembles.

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