Uniform tail asymptotics for Airy kernel determinant solutions to KdV and for the narrow wedge solution to KPZ
(2022) Journal of Functional Analysis — Vol. 283, n° 8, p. 109608 (2022)
Files
CharlierClaeysRuzzaKPZ_revision.pdf
Open Access - Adobe PDF
- 787.96 KB
Details
- Authors
Ruzza, Giulio 
- Abstract
- 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.
- Affiliations
Citations
Charlier, C., Claeys, T., & Ruzza, G. (2022). Uniform tail asymptotics for Airy kernel determinant solutions to KdV and for the narrow wedge solution to KPZ. Journal of Functional Analysis, 283(8), 109608. https://hdl.handle.net/2078.5/269260 (Original work published 2022)