scholarly journals Asymptotics of the Airy-Kernel Determinant

2008 ◽  
Vol 278 (3) ◽  
pp. 643-678 ◽  
Author(s):  
P. Deift ◽  
A. Its ◽  
I. Krasovsky
Keyword(s):  
Airy Kernel

scholarly journals Large Gap Asymptotics for Airy Kernel Determinants with Discontinuities

2019 ◽  
Vol 375 (2) ◽  
pp. 1299-1339 ◽  
Author(s):  
Christophe Charlier ◽  
Tom Claeys
Keyword(s):  
Airy Kernel

scholarly journals Level-spacing distributions and the Airy kernel

1994 ◽  
Vol 159 (1) ◽  
pp. 151-174 ◽  
Author(s):  
Craig A. Tracy ◽  
Harold Widom
Keyword(s):  
Level Spacing ◽  
Airy Kernel

scholarly journals Level-spacing distributions and the Airy kernel

1993 ◽  
Vol 305 (1-2) ◽  
pp. 115-118 ◽  
Author(s):  
Craig A. Tracy ◽  
Harold Widom
Keyword(s):  
Level Spacing ◽  
Airy Kernel

scholarly journals Oscillatory Asymptotics for the Airy Kernel Determinant on Two Intervals

2020 ◽  
Author(s):  
Elliot Blackstone ◽  
Christophe Charlier ◽  
Jonatan Lenells
Keyword(s):  
Fredholm Determinant ◽  
Theta Functions ◽  
Explicit Formulas ◽  
Airy Kernel ◽  
Jacobi Theta Functions

Abstract We obtain asymptotics for the Airy kernel Fredholm determinant on two intervals. We give explicit formulas for all the terms up to and including the oscillations of order $1$, which are expressed in terms of Jacobi $\theta $-functions.

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