Moments match between the KPZ equation and the Airy point process

DOI10.3842/SIGMA.2016.102zbMath1348.60007arXiv1608.01557MaRDI QIDQ338174

Alexei Borodin, Vadim Gorin

Publication date: 4 November 2016

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.01557

zbMATH Keywords

KPZ equationAiry point process

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items

Large deviations of the KPZ equation via the stochastic Airy operator, The ASEP and determinantal point processes, Fluctuations of \(\beta\)-Jacobi product processes, 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, Lower tail of the KPZ equation, Stochastic PDE limit of the six vertex model, The lower tail of \(q\)-pushTASEP, Universality for multiplicative statistics of Hermitian random matrices and the integro-differential Painlevé II equation, Airy point process via supersymmetric lifts, Stochastic higher spin six vertex model and Macdonald measures, The ASEP speed process, The KPZ limit of ASEP with boundary, The lower tail of the half-space KPZ equation, Systematic time expansion for the Kardar-Parisi-Zhang equation, linear statistics of the GUE at the edge and trapped fermions, Markov duality for stochastic six vertex model, Lyapunov exponents of the half-line SHE, Simple derivation of the (– λ H)^5/2 tail for the 1D KPZ equation, Airy kernel determinant solutions to the KdV equation and integro-differential Painlevé equations, KPZ equation tails for general initial data

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