Uniform tail asymptotics for Airy kernel determinant solutions to KdV and for the narrow wedge solution to KPZ
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We obtain uniform asymptotics for deformed Airy kernel determinants, which arise in models of finite temperature free fermions and which characterize the narrow wedge solution of the Kardar–Parisi–Zhang equation. The asymptotics for the determinants yield uniform initial data for an associated family of solutions to the Korteweg–de Vries equation, and uniform lower tail asymptotics for the narrow wedge solution of the Kardar–Parisi–Zhang equation.
Originalsprog | Engelsk |
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Artikelnummer | 109608 |
Tidsskrift | Journal of Functional Analysis |
Vol/bind | 283 |
Udgave nummer | 8 |
Sider (fra-til) | 1-54 |
ISSN | 0022-1236 |
DOI | |
Status | Udgivet - 2022 |
Bibliografisk note
Funding Information:
The authors are grateful to Pierre Le Doussal for important remarks about related literature. CC was supported by the European Research Council , Grant Agreement No. 682537 , the Ruth and Nils-Erik Stenbäck Foundation, and the Novo Nordisk Fonden Project Grant 0064428 . TC and GR were supported by the Fonds de la Recherche Scientifique- FNRS under EOS project O013018F .
Publisher Copyright:
© 2022 Elsevier Inc.
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