A <scp>Riemann‐Hilbert</scp> Approach to the Lower Tail of the <scp>Kardar‐Parisi‐Zhang</scp> Equation

DOI10.1002/cpa.21978zbMath1487.35269arXiv1910.02493OpenAlexW3125452457MaRDI QIDQ5072041

Tom Claeys, Mattia Cafasso

Publication date: 25 April 2022

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.02493

zbMATH Keywords

Riemann-Hilbert problemKardar-Parisi-Zhang equation

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Asymptotic behavior of solutions to PDEs (35B40) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Random matrices (algebraic aspects) (15B52) PDEs with randomness, stochastic partial differential equations (35R60) Riemann-Hilbert problems in context of PDEs (35Q15) PDEs in connection with statistical mechanics (35Q82)

Related Items (13)

Null octagon from Deift-Zhou steepest descent ⋮ Exact lower-tail large deviations of the KPZ equation ⋮ Uniform tail asymptotics for Airy kernel determinant solutions to KdV and for the narrow wedge solution to KPZ ⋮ The Bessel kernel determinant on large intervals and Birkhoff's ergodic theorem ⋮ Upper tail bounds for stationary KPZ models ⋮ The lower tail of \(q\)-pushTASEP ⋮ Integrability in the weak noise theory ⋮ Universality for multiplicative statistics of Hermitian random matrices and the integro-differential Painlevé II equation ⋮ Determinantal point processes conditioned on randomly incomplete configurations ⋮ Integrable equations associated with the finite‐temperature deformation of the discrete Bessel point process ⋮ KPZ equation with a small noise, deep upper tail and limit shape ⋮ On the integrable structure of deformed sine kernel determinants ⋮ Upper-tail large deviation principle for the ASEP

This page was built for publication: A <scp>Riemann‐Hilbert</scp> Approach to the Lower Tail of the <scp>Kardar‐Parisi‐Zhang</scp> Equation