Asymptotics of the Airy-kernel determinant

2006/09/15 by Percy Deift, P. Deift, Deift, P. +6 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Mathematical Physics (math-ph) #Random Matrices and Applications #Stochastic processes and statistical mechanics #math-ph #math.FA #math.MP

paper · pdf · doi:10.48550/arxiv.math/0609451

41 pages, 6 figures

openalex publication_date 2006/09/15 · arxiv created 2007/06/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The authors use Riemann-Hilbert methods to compute the constant that arises in the asymptotic behavior of the Airy-kernel determinant of random matrix theory.

Cited by

• The Widom-Dyson constant for the gap probability in random matrix theory
• Asymptotics of Fredholm determinant solutions of the noncommutative Painlevé II equation

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