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Paper detail

Uniform tail asymptotics for Airy kernel determinant solutions to KdV and for the narrow wedge solution to KPZ

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.

preprint2022arXivOpen access
Christophe CharlierTom ClaeysGiulio Ruzza
math.APmath-phmath.PRmath.MP
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Christophe CharlierTom ClaeysGiulio Ruzza

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