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

Research output: Contribution to journal › Journal article › Research › peer-review

Standard

Uniform tail asymptotics for Airy kernel determinant solutions to KdV and for the narrow wedge solution to KPZ. / Charlier, Christophe; Claeys, Tom; Ruzza, Giulio.

In: Journal of Functional Analysis, Vol. 283, No. 8, 109608, 2022, p. 1-54.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

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, vol. 283, no. 8, 109608, pp. 1-54. https://doi.org/10.1016/j.jfa.2022.109608

APA

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), 1-54. [109608]. https://doi.org/10.1016/j.jfa.2022.109608

Vancouver

Charlier C, Claeys T, Ruzza G. Uniform tail asymptotics for Airy kernel determinant solutions to KdV and for the narrow wedge solution to KPZ. Journal of Functional Analysis. 2022;283(8):1-54. 109608. https://doi.org/10.1016/j.jfa.2022.109608

Author

Charlier, Christophe ; Claeys, Tom ; Ruzza, Giulio. / Uniform tail asymptotics for Airy kernel determinant solutions to KdV and for the narrow wedge solution to KPZ. In: Journal of Functional Analysis. 2022 ; Vol. 283, No. 8. pp. 1-54.

Bibtex

@article{b2247f6e94854a3ea7ee9e1a593e21c3,
title = "Uniform tail asymptotics for Airy kernel determinant solutions to KdV and for the narrow wedge solution to KPZ",
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.",
keywords = "Asymptotics, KdV equation, KPZ equation, Riemann–Hilbert problems",
author = "Christophe Charlier and Tom Claeys and Giulio Ruzza",
note = "Publisher Copyright: {\textcopyright} 2022 Elsevier Inc.",
year = "2022",
doi = "10.1016/j.jfa.2022.109608",
language = "English",
volume = "283",
pages = "1--54",
journal = "Journal of Functional Analysis",
issn = "0022-1236",
publisher = "Academic Press",
number = "8",

}

RIS

TY - JOUR

T1 - Uniform tail asymptotics for Airy kernel determinant solutions to KdV and for the narrow wedge solution to KPZ

AU - Charlier, Christophe

AU - Claeys, Tom

AU - Ruzza, Giulio

N1 - Publisher Copyright: © 2022 Elsevier Inc.

PY - 2022

Y1 - 2022

N2 - 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.

AB - 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.

KW - Asymptotics

KW - KdV equation

KW - KPZ equation

KW - Riemann–Hilbert problems

UR - http://www.scopus.com/inward/record.url?scp=85133679798&partnerID=8YFLogxK

U2 - 10.1016/j.jfa.2022.109608

DO - 10.1016/j.jfa.2022.109608

M3 - Journal article

AN - SCOPUS:85133679798

VL - 283

SP - 1

EP - 54

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

SN - 0022-1236

IS - 8

M1 - 109608

ER -

ID: 314439085