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.
Original language | English |
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Article number | 109608 |
Journal | Journal of Functional Analysis |
Volume | 283 |
Issue number | 8 |
Pages (from-to) | 1-54 |
ISSN | 0022-1236 |
DOIs | |
Publication status | Published - 2022 |
Bibliographical note
Publisher Copyright:
© 2022 Elsevier Inc.
- Asymptotics, KdV equation, KPZ equation, Riemann–Hilbert problems
Research areas
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