Asymptotics of the Airy-kernel determinant

DOI10.1007/s00220-007-0409-xzbMath1167.15005arXivmath/0609451OpenAlexW2094621289MaRDI QIDQ956628

Percy A. Deift, I. V. Krasovsky, Alexander R. Its

Publication date: 25 November 2008

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0609451

zbMATH Keywords

asymptotic behavior trace-class operator Riemann-Hilbert problem Riemann zeta-function Fredholm determinant Airy function Airy-kernel determinant Random matrix

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) (zeta (s)) and (L(s, chi)) (11M06) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Classical equilibrium statistical mechanics (general) (82B05) (Semi-) Fredholm operators; index theories (47A53) Integral operators (47G10) Random matrices (algebraic aspects) (15B52) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

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