Asymptotics for the Fredholm determinant of the sine kernel on a union of intervals

DOI10.1007/BF02103774zbMath0839.47032arXivhep-th/9405010MaRDI QIDQ1908052

Harold Widom

Publication date: 1995

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

Full work available at URL: https://arxiv.org/abs/hep-th/9405010

zbMATH Keywords

logarithmic derivativeorthogonal polynomial theoryasymptotic expansion for the determinantFredholm determinant of the sine kernelGaussian unitary ensemble of Hermitian matrices

Mathematics Subject Classification ID

(Semi-) Fredholm operators; index theories (47A53) Linear operators on function spaces (general) (47B38) Integral operators (47G10)

Related Items (18)

On the deformed Pearcey determinant ⋮ Dyson's constant in the asymptotics of the Fredholm determinant of the sine kernel ⋮ Harold Widom’s work in random matrix theory ⋮ Harold Widom’s work in Toeplitz operators ⋮ The Widom--Dyson constant for the gap probability in random matrix theory ⋮ The Bessel kernel determinant on large intervals and Birkhoff's ergodic theorem ⋮ Disk counting statistics near hard edges of random normal matrices: the multi-component regime ⋮ Large gap asymptotics on annuli in the random normal matrix model ⋮ Sine‐kernel determinant on two large intervals ⋮ Probability of two large gaps in the bulk and at the edge of the spectrum of random matrices ⋮ On the analysis of incomplete spectra in random matrix theory through an extension of the Jimbo-Miwa-Ueno differential ⋮ Dyson's constants in the asymptotics of the determinants of Wiener-Hopf-Hankel operators with the sine kernel ⋮ Large deformations of the Tracy-Widom distribution. I: Non-oscillatory asymptotics ⋮ Integral operators with the generalized sine kernel on the real axis ⋮ Splitting of a gap in the bulk of the spectrum of random matrices ⋮ ASYMPTOTIC BEHAVIOR OF THE INTEGRATED DENSITY OF STATES FOR RANDOM POINT FIELDS ASSOCIATED WITH CERTAIN FREDHOLM DETERMINANTS ⋮ Riemann-Hilbert approach to a generalised sine kernel and applications ⋮ Gap probabilities in the bulk of the Airy process

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