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Oscillatory Asymptotics for the Airy Kernel Determinant on Two Intervals
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0002-3814-3483
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0001-6890-344x
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0001-6191-7769
2022 (English)In: International mathematics research notices, ISSN 1073-7928, E-ISSN 1687-0247, Vol. 2022, no 4, p. 2636-2687, article id rnaa205Article in journal (Refereed) Published
Abstract [en]

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.
Place, publisher, year, edition, pages
Oxford University Press (OUP) , 2022. Vol. 2022, no 4, p. 2636-2687, article id rnaa205
National Category
Mathematical Analysis
Identifiers
URN: urn:nbn:se:kth:diva-309784DOI: 10.1093/imrn/rnaa205ISI: 000754760500008Scopus ID: 2-s2.0-85125482904OAI: oai:DiVA.org:kth-309784DiVA, id: diva2:1644448
Note

QC 20220314

Available from: 2022-03-14 Created: 2022-03-14 Last updated: 2022-06-25Bibliographically approved

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Blackstone, ElliotCharlier, ChristopheLenells, Jonatan

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